Horst Herrlich     Publications

 

 

A) As Editor

 

1976 1 Categorical Topology, Mannheim 1975

            Lecture Notes Math. 540, Springer 1976

            (with E. Binz)

 

         2 Nordwestdeutsches Kategorienseminar, Bremen 1976

            Mathematik-Arbeitspapiere 7, Univ. Bremen 1976

            (with H.-E. Porst, R.-E. Hoffmann and M.B. Wischnewsky)

 

1979  3 Categorical Topology, Berlin 1978

             Lecture Notes Math. 719, Springer 1979

             (with G. Preuss)

 

           4 Structure of Topological Categories, Bremen 1978

              Mathematik-Arbeitspapiere 18, Univ. Bremen 1979

              (with R.-E. Hoffmann, H.-E. Porst and M.B. Wischnewsky)

 

1981   5 Special Topics in Topology and Category Theory, Bremen 1981

              Mathematik-Arbeitspapiere 25, Univ. Bremen 1981

              (with R.-E. Hoffmann, H.-E. Porst and M.B. Wischnewsky)

 

1984   6 Categorical Topology, Toledo 1983

              Heldermann Verlag 1984

              (with H.L. Bentley, M. Rajagopalan and H. Wolff)

 

1985   7 Convergence Structures, Bechyne 1984

              Akademie-Verlag, Berlin 1985

              (with J. Novak, W. Gähler and J. Mikusinski)

 

1987   8 Workshop on Category Theory, Bremen 1986

              Mathematik-Arbeitspapiere 28, Univ. Bremen 1987

              (with R.-E. Hoffmann and H.-E. Porst)

 

           9 Categorical Topology, L'Aquila 1986

              Topology and its Applications 27, No 2 (1987)

              (with E. Giuli)

 

1989  10 Categorical Methods in Computer Science with Aspects

               from Topology, Berlin 1988

               Lecture Notes Computer Science 393, Springer 1989

               (with H. Ehrig, H.-J. Kreowski and G. Preuss)

 

1991   11 Category Theory at Work, Bremen 1990

               Heldermann Verlag 1991

               (with H.-E. Porst)

 

1992  12 Recent Developments of General Topology and its

               Applications, Berlin 1992

               Internat. Conf. in Memory of Felix Hausdorff (1868-1942)

               Akademie Verlag 1992

               (with W. Gähler and G. Preuss)

 

1999  13 Symposium on Categorical Topology, Cape Town 1994

               Univ. Cape Town 1999

               (with B. Banaschewski and C. Gilmour)

 

2000  14 CatMAT 2000

               Proc. Conf. Cat. Methods in Algebra and Topology

               Mathematik-Arbeitspapiere Nr. 54, Universität Bremen 2000

               (with H.-E. Porst)

 

2002  15 Felix Hausdorff: Gesammelte Werke Bd. II.

               Grundzüge der Mengenlehre. Springer 2002

               (with E. Brieskorn, S.D. Chatterji, M. Epple, U. Felgner, M. Husek,

               V. Kanovei, P. Koepke, G. Preuss, W. Purkert, and E. Scholz)

 

2008  16 Felix Hausdorff: Gesammelte Werke Bd. III.

               Deskriptive Mengenlehre und Topologie. Springer 2008

               (with U. Felgner, M. Husek, V. Kanovei, P. Koepke, G. Preuss,

               W. Purkert, and E. Scholz)

 

 

B) Mathematical Biography

 

1988  1 Categorical Topology - The Complete Work of Graciela Salicrup

             Aportaciones Matematicas 2, Soc. Matem. Mexicana 1988

             (with C. Prieto)

 

 

C) Books

 

1968  1 Topologische Reflexionen und Coreflexionen

             Springer Lecture Notes Math. 78 (1968)

 

1973  2 Category Theory

             Allyn and Bacon 1973,

             (with G.E. Strecker)

              2nd ed. Heldermann Verlag 1979

              3rd  ed. Heldermann Verlag 2007

 

1986  3 Einführung in die Topologie: Metrische Räume

             Heldermann Verlag, Berlin 1986

             (with H. Bargenda and C. Trompelt)

 

          4 Topologie I: Topologische Räume

             Heldermann Verlag, Berlin 1986

             (with H. Bargenda)

 

1988  5 Topologie II: Uniforme Räume

             Heldermann Verlag, Berlin 1988

 

1990  6 Abstract and Concrete Categories

             Wiley-Interscience Publ., New York 1990

             (with G.E. Strecker and J. Adamek)

              Electronic ed. http://www.math.uni-bremen.de/» dmb/acc.pdf

             Dover Reprint 2009

 

2006  7 Axiom of Choice

             Springer Lecture Notes Math. 1876 (2006)

 

 

 

D) Papers

 

1962  1 Ordnungsfähigkeit topologischer Räume

             Thesis, Freie Universität Berlin 1962

 

1965  2 Ordnungsfähigkeit zusammenhängender Räume

             Fund. Math. 57 (1965) 305-311

 

          3 Ordnunsfähigkeit total-diskontinuierlicher Räume

             Math. Annalen 159 (1965) 77-80

 

          4  Tv -Abgeschlossenheit und Tv -Minimalität

             Math. Zeitschrift 88 (1965) 285-294

 

          5 Wann sind alle stetigen Abbildungen in Y konstant?

             Math. Zeitschrift 90 (1965) 152-154

 

          6 E-kompakte Räume

             Habilitationsschrift, Freie Universität Berlin 1965

 

1966  7 Nicht alle T2-minimalen Räume sind von 2. Kategorie

             Math. Zeitschrift 91 (1966) 185

 

1967  8 Quotienten geordneter Räume und Folgenkonvergenz

             Fund. Math. 61 (1967) 79-81

        

          9 Fortsetzbarkeit stetiger Abbildungen und Kompaktheitsgrad

             topologischer Räume

             Math. Zeitschrift 96 (1967) 64-72

 

        10 E-kompakte Räume

             Math. Zeitschrift 96 (1967) 228-255

 

        11 Properties which are closely related to compactness

             Indag. Math. 29 (1967) 524-529

             (with J. van der Slot)

 

1968 12 Mengen reeller Zahlen. Ordnungstheoretische und

               topologische Kennzeichnung

               Prace Math. 11 (1968) 205-212

 

          13 On intersections of compact sets

               Duke Math. J. 35 (1968) 439-440

 

          14 H-closed spaces and reflective subcategories

               Math. Annalen 177 (1968) 302-309

               (with G.E. Strecker)

 

          15 Strengthening Alexander's subbase theorem

               Duke Math. J. 35 (1968) 671-676

               (with G.E. Strecker, E. Wattel and J. de Groot)

 

1969  16 Compactness as an operator

               Compositio Math. 21 (1969) 349-375

               (with J. de Groot, G.E. Strecker and E. Wattel)

 

           17 Separation axioms and direct limits

                Canad. Math. Bull. 12 (1969) 337-338

 

           18 Limit operators and topological coreflections

               Trans. Amer. Math. Soc. 146 (1969) 302-310

 

           19 Topological coreflections

                 Int. Symp. Topology, Herceg Novi 1968,

                 (Belgrad 1969) 187-188

 

            20 On the concept of reflections in general topology

                  Int. Symp. Extension Theory of Top. Structures

                  and Appl., Berlin 1967, (Berlin 1969) 105-114

 

1970    21 An example in category theory

                 Math. Zeitschrift 113 (1970) 309-312

          

            22 Factorization of morphisms f: B à A

                 Math. Zeitschrift 114 (1970) 180-186

 

            23 Regular-closed, Urysohn-closed, and completely

                 Hausdorff-closed spaces

                 Proc. Amer. Math. Soc. 26 (1970) 695-698

 

1971   24 Coreflective subcategories

                Trans. Amer. Math. Soc. 157 (1971) 205-226

                (with G.E. Strecker)

 

           25 A characterization of k-ary algebraic categories

                manuscripta math. 4 (1971) 277-284

 

           26 Categorical topology

                Gen. Topol. Appl. 1 (1971) 1-15

 

           27 Algebra n Topology = Compactness

               Gen. Topol. Appl. 1 (1971) 283 - 287

               (with G.E. Strecker)

 

1972  28 Coreflective subcategories in general topology

               Fund. Math. 73 (1972) 199-218

               (with G.E. Strecker)

 

          29 A generalization of perfect maps

               3. Prague Top. Sym., 1971, (Prague 1972) 187-191

 

          30 Identities in categories

              Canad. Math. Bull. 15(2) (1972) 297-299

              (with C.M. Ringel)

 

1974  31 Perfect subcategories and factorizations

               Keszthely 1972, (Coll.Math.Soc.G.Bolyai, Top.1974) 387-403

 

          32 Regular categories and regular functors

               Canad. J. Math. 26 (1974) 709-720

 

          33 Topological functors

               Gen. Topol. Appl. 4 (1974) 125-142

 

          34 Cartesian closed topological categories

               Math. Coll. Univ. Cape Town 9 (1974) 1-16

 

          35 A concept of nearness

               Gen. Topol. Appl. 4 (1974) 191-212

 

           36 On the extendibility of continuous functions

                Gen. Topol. Appl. 4 (1974) 213-215

 

           37 Topological structures

                Amsterdam Math Centre Tracts 52 (1974) 59-122

 

1975   38 Topological structures

                Int.Congr.Math., Vancouver 1974, (Vol. 2, 1975) 63-66

 

          39 Epireflective subcategories of Top need to be

               cowellpowered

               Comment. Math. Univ. Carolinae 16 (1975) 713-716

 

1976 40 Initial completions

             Math. Zeitschrift 150 (1976) 101-110

 

          41 On the relations P(X x Y ) = PX x PY

               Gen. Topol. Appl. 6 (1976) 37-43

               (with W.W. Comfort)

 

          42 Extensions of topological spaces

               Topology (eds. Franklin and Smith Thomas)

               (Marcel Dekker, New York 1976) 129-184

               (with H.L. Bentley)

 

          43 Convenient categories for topologists

               Topology (eds. Franklin and Smith Thomas)

               (Marcel Dekker, New York 1976) 71-76

 

          44 Convenient categories for topologists

               Comment. Math. Univ. Carolinae 17 (1976) 207-227

               (with H.L. Bentley and W.A. Robertson)

 

          45 Some topological theorems which fail to be true

               Springer Lecture Notes Math. 540 (1976) 265-285

 

          46 Subcategories defined by implications

               Houston Math. J. 2 (1976) 149-171

               (with B. Banaschewski)

 

1977  47 Products in topology

              Quaestiones Math. 2 (1977) 191-205

 

          48 The forgetful functor Cont à Prox is topological

               Quaestiones Math. 2 (1977) 45-47

                (with H.L. Bentley)

      

          49 Cartesian closed topological hulls

               Proc. Amer. Math. Soc. 62 (1977) 215-222

               (with L.D. Nel)

 

1978   50 The reals and the reals

                Gen. Topol. Appl. 9 (1978) 221{232

                (with H.L. Bentley)

 

         51 Reflective Mac Neille completions of fibre-small

              categories need not be fibre-small

              Comment. Math. Univ. Carolinae 19 (1978) 147-149

 

         52 Completion as reflection

              Comment. Math. Univ. Carolinae 19 (1978) 541-568

              (with H.L. Bentley)

 

1979 53 Completeness is productive

              Springer Lecture Notes Math. 719 (1979) 13-17

              (with H.L. Bentley)

 

         54 Completeness for nearness spaces

              Amsterdam Math. Centre Tracts 115 (1979) 29-40

              (with H.L. Bentley)

 

         55 Semi-universal maps and universal initial completions

              Pacific J. Math. 82 (1979) 407-428

              (with G.E. Strecker)

 

          56 Least and largest initial completions, I and II

               Comment. Math. Univ. Carolinae 20 (1979) 43-77

               (with J. Adamek and G.E. Strecker)

 

          57 The structure of initial completions

               Cahiers Topol. Geom. Diff. 20 (1979) 333-352

               (with J. Adamek and G.E. Strecker)

 

          58 Algebra u Topology

               Springer Lecture Notes Math. 719 (1979) 150-156

               (with G.E. Strecker)

 

          59 Initial and final completions

              Springer Lecture Notes Math. 719 (1979) 137-149

 

         60 Dispersed factorization structures

              Canad. J. Math. 31 (1979) 1059-1071

              (with G. Salicrup and R. Vazquez)

 

          61 Light factorization structures

               Quaestiones Math. 3 (1979) 189-213

              (with G. Salicrup and R. Vazquez)

 

          62 Local compactness and simple extensions of discrete spaces

               Proc. Amer. Math. Soc. 77 (1979) 421-423

              (with V. Kannan and M. Rajagopalan)

 

1980 63 Equivalence of topologically-algebraic and semitopological functors

              Canad. J. Math. 32 (1980) 34-39

              (with R. Nakagawa, G.E. Strecker and T. Titcomb)

 

1981 64 Orderability of connected graphs and nearness spaces

              Amsterdam Math. Centre Tracts 142 (1981) 34-39

 

        65 Topicos de Categorias Topologicas y Algebraicas,

             Univ. Santiago de Chile 1981

 

1982 66 Universal completions of concrete categories

              Springer Lecture Notes Math. 915 (1982) 127-135

 

          67 The coreflective hull of the contigual spaces in the category

               of merotopic spaces

               Springer Lecture Notes Math. 915 (1982) 16-26

               (with H.L. Bentley)

 

          68 What is algebra? What is topology?

               Topology, Spec. Seminar Mexico 3 (1982) 149-169

 

1983 69 Inside Top

              Durand Math. Assoc. 1982 (Mc Master Univ. 1983) 14-21

 

         70 Are there convenient subcategories of Top?

              Topol. Appl. 15 (1983) 263-271

 

         71 Categorical topology 1971-1981

              General Topology and its Relations to Modern Analysis

              and Algebra 5, Proc. Fifth Prague Topol.Symp. 1981,

              (Heldermann Verlag 1983) 279-383

 

         72 The quasicategory of quasispaces is illegitimate

              Archiv Math. 40 (1983) 364-366

              (with M. Rajagopalan)

 

 1984  73 Products of quotients in Near

               Topol. Appl. 17 (1984) 91-99

               (with H.L. Bentley)

 

           74 Graciela Salicrup - her mathematical work

                Categorical Topology (eds. Bentley, Herrlich, Rajagopalan and Wolff)

                (Heldermann Verlag 1984) 1-22

 

           75 Universal topology

                Categorical Topology (eds. Bentley, Herrlich, Rajagopalan and Wolff)

                (Heldermann Verlag 1984) 223-281

 

           76 Topological structure theory

                 Convergence Struct. Appl., Schwerin 1983,

                 (Akademie Verlag 1984) 77-80

 

1985  77 Sequential structures: categorical aspects

               Convergence Structures (eds. Novak, Gähler, Herrlich and Mikusinski)

               (Akademie Verlag 1985) 165-176

 

          78 Ascoli's theorem for a class of merotopic spaces

               Convergence Structures (eds. Novak, Gähler, Herrlich and Mikusinski)

               (Akademie Verlag 1985) 47-53

               (with H.L. Bentley)

 

1986 79 Filter convergence via sequential convergence

              Comment. Math. Univ. Carolinae 27 (1986) 69-81

              (with R. Beattie and H.P. Butzmann)

 

          80 Cartesian closed categories, quasitopoi, and topological universes

               Comment. Math. Univ. Carolinae 27 (1986) 235-257

               (with J. Adamek)

 

          81 Topological structures and injectivity

´              Rendiconti di Palermo 12 (1986) 87-92

 

          82 Essentially algebraic categories

               Quaestiones Math. 9 (1986) 245-262

 

          83 Cartesian closed topological hulls as injective hulls

               Quaestiones Math. 9 (1986) 263-280

               (with G.E. Strecker)

 

          84 Concrete categories and injectivity

               Springer Lecture Notes Comp. Sci. 239 (1986) 42-52

               (with H. Bargenda and G.E. Strecker)

        

         85 Galois connections

               Springer Lecture Notes Comp. Sci. 239 (1986) 122-134

               (with M. Husek)

 

 1987  86 The category of Cauchy spaces is cartesian closed

               Topol. Appl. 27 (1987) 105-112

               (with H.L. Bentley and E. Lowen-Colebunders)

 

          87 Topological improvements of categories of structured sets

               Topol. Appl. 27 (1987) 145-155

 

          88 Factorizations, denseness, separation, and relatively compact objects

               Topol. Appl. 27 (1987) 157-169

               (with G. Salicrup and G.E. Strecker)

 

          89 Kategorientheorie

               Mathematikstudium? In Bremen? Na klar!

               Fachbereich Mathematik und Informatik, Univ. Bremen 1987, 21-24

 

1988  90 Hereditary topological constructs

              General Topology and its Relations to Analysis and Algebra 6,

              Proc. Sixth Prague Topol. Symp. 1986,

              (Heldermann Verlag 1988) 249-262

 

           91 On the representability of partial morphisms in Top and in related constructs

                Springer Lecture Notes Math. 1348 (1988) 143-153

 

           92 Essentially equational categories

                Cahiers Topol. Geom. Diff. Categ. 29 (1988) 175-192

                (with J. Adamek and J. Rosicky)

 

           93 Sequential structures induced by merotopics

                Comment. Math. Univ. Carolinae 29 (1988) 679-683

 

1989  94 Realizations of topologies and closure operators

               by set systems and neighbourhoods

               Archivum Math. (Brno) 25 (1989) 83-87

 

          95 Monadic decompositions

               J. Pure Appl. Algebra 59 (1989) 111-123

               (with J. Adamek and W. Tholen)

 

          96 The construct PRO of projection spaces: its internal structure

               Springer Lecture Notes Comp. Sci. 393 (1989) 286-293

               (with H. Ehrig)

        

         97 Functors lifting limits

              Categorical Topology (eds. Adamek and Mac Lane)

              World Scientific, Singapore 1989, 89-94     

 

         98 Completeness almost implies cocompleteness

              Categorical Topology (eds. Adamek and Mac Lane)

              World Scientic, Singapore 1989, 246-256

              (with J. Adamek and J. Reiterman)

 

         99 Zero sets and complete regularity for nearness spaces

              Categorical Topology (eds. Adamek and Mac Lane)

              World Scientific, Singapore 1989, 446-461

              (with H.L. Bentley and R.G. Ori)

 

1990 100 A characterization of concrete quasitopoi by injectivity

                J. Pure Appl. Algebra 68 (1990) 1-9

                (with J. Adamek)

 

         101 Convergence

                J. Pure Appl. Algebra 68 (1990) 27-45

                (with H.L. Bentley and E. Lowen-Colebunders)

 

          102 Galois connections categorically

                 J. Pure Appl. Algebra 68 (1990) 165-180

                 (with M. Husek)

 

          103 Remarks on categories of algebras defined by a proper class of operations

                 Quaestiones Math. 13 (1990) 385-393

 

1991  104 Improving constructions in topology

                Category Theory at Work (eds. Herrlich and Porst)

                (Heldermann Verlag 1991) 1-20

                (with H.L. Bentley and R. Lowen)

 

         105 Improving Top: PrTop and PsTop

               Category Theory at Work (eds. Herrlich and Porst)

               (Heldermann Verlag 1991) 21-34

               (with E. Lowen-Colebunders and F. Schwarz)

 

         106 Algebra u Topology

               Category Theory at Work (eds. Herrlich and Porst)

               (Heldermann Verlag 1991) 137-148

               (with T. Mossakowski and G.E. Strecker)

 

1992  107 Convenient topological constructs

                 Applications of Category Theory to Fuzzy Subsets

                 (eds. Rodabaugh, Klement and Höhle)

                Kluwer Acad. Publ. 1992, 137-151

 

         108 Epireflections which are completions

                Cahiers Topolog. Geom. Diff. Categ. 33 (1992) 71-93

                (with G.C.L. Brümmer and E. Giuli)

 

        109 Hyperconvex hulls of metric spaces

               Topology and Appl. (1992) 181-187

 

        110 Compactness = completeness n total boundedness - a natural example of

               a non-reflective intersection of reflective subcategories

               Recent Developments of General Topology and its Applications

               (eds. Gähler, Herrlich and Preuss)

               Akademie Verlag 1992, 46-56

               (with H.L. Bentley)

 

        111 Categorical topology

               Recent Progress in General Topology (eds. Husek and van Mill)

               Elsevier Sci. Publ. 1992, Ch. 11, 369-403

               (with M. Husek)

 

1993 112 Almost reflective subcategories of Top

                Topology and Appl. 49 (1993) 251-264

 

          113 Some open categorical problems in Top

                 Appl. Categ. Struct. 1 (1993) 1-19

                 (with M. Husek)

 

          114 Compact T0-spaces and T0-compactifications

                 Appl. Categ. Struct. 1 (1993) 111-132

 

          115 On the failure of Birkhoff's Theorem for locall small based

                 equational categories of algebras.

                 Cahiers Topol. Geom. Diff. Categ. 34 (1993) 185-192

 

1994  116 Factorization of flows and completeness of categories

                 Quaestiones Math. 17 (1994) 1-11

                 (with W. Meyer)

 

          117 Essential extensions of Hausdorff spaces

                 Appl. Categ. Struct. 2 (1994) 101-105

 

1995  118 A Baire Category Theorem for quasi-metric spaces.

                 Indian J. Math. 37 (1995) 27-30

                 (with H.L.Bentley and W.N. Hunsaker)

 

1996  119 Compactness and the Axiom of Choice

                 Appl. Categ. Struct. 3 (1995) 1-14

 

          120 An effective construction of a free z-ultrafilter

                 Papers on Gen. Topology and Appl. 11-th Summer Conf. Univ.

                 Southern Maine (eds. S. Andima, R.C. Flagg, G. Itzkovitz,

                 Y. Kong, R. Kopperman, and P. Misra),

                 Annals New York Acad. Sci. 806 (1996) 201-206

 

1997  121 Categorical Topology - its origins, as exemplified by the unfolding of

                  the theory of topological reflections and coreflections before 1971

                 Handbook of the History of General Topology

                 (eds. C.E. Aull and R. Lowen), Kluwer Acad. Publ.

´                Vol. 1 (1997) 255-341

                 (with G.E. Strecker)

 

        122 When is N Lindelöf?

               Comment. Math. Univ. Carolinae 38 (1997) 553-556

               (with G.E. Strecker)

 

        123 Choice principles in elementary topology and analysis

               Comment. Math. Univ. Carolinae 38 (1997) 545-552

 

       124 The Ascoli Theorem is equivalent to the Boolean Prime Ideal Theorem

              Rostock Math. Kolloq. 51 (1997) 137-140

 

       125 Stabilität topologischer Eigenschaften unter kategoriellen Konstruktionen

              Mathematik aus Berlin (edt. H.G.W. Begehr)

              Weidler-Verlag Berlin 1997, 245-250

 

       126 The Ascoli Theorem is equivalent to the Axiom of Choice

              Seminarberichte FB Mathematik Univ. Hagen 62 (1997) 97-100

 

       127 Maximal filters, continuity and choice principles

              Quaestiones Math. 20 (1997) 697-705

              (with J. Steprans)

 

1998 128 Morita-extensions and nearness-completions

                Topol. Appl. 82 (1998) 59-65

                (with H.L. Bentley)

 

        129 Doitchinov's construct of supertopological spaces is topological

               Serdica Math.J. 24 (1998) 21-24

               (with H.L. Bentley)

 

        130 The historical development of uniform, proximal, and nearness concepts

               in topology

              Handbook of the History of General Topology

              (eds. C.E. Aull and R. Lowen), Kluwer Acad. Publ.

              Vol. 2 (1998) 577-629

              (with H.L. Bentley and M. Husek)

 

       131 Countable choice and pseudometric spaces

              Topology and Appl. 85 (1998) 153-164

              (with H.L. Bentley)

 

         132 Categorical properties of probabilistic convergence spaces

                Appl. Categ. Struct. 6 (1998) 495-513

                (with Dexue Zhang)

 

1999 133 Compactness and rings of continuous functions - without the axiom of choice

                Proc. Symp. Cat. Topology, Cape Town 1994, Univ. Cape Town 1999

                (eds. B. Banaschewski, C.R.A. Gilmour, and H. Herrlich)  47-54

                (with H.L. Bentley)

 

         134 On simultaneously reflective and coreflective subconstructs

                Proc. Symp. Cat. Topology, Cape Town 1994, Univ. Cape Town 1999

                (eds. B. Banaschewski, C.R.A. Gilmour, and H. Herrlich) 121-129

                (with R. Lowen)

 

        135 Composing special epimorphisms and retractions

               Cahiers Topol. Geom. Diff. Cat. 40 (1999) 221-226

               (with L. Schröder)

 

        136 Productivity of coreflective classes of topological groups

              Comment.Math.Univ.Carolinae 40 (1999) 551-560

              (with M. Husek)

 

        137 Products, the Baire category theorem, and the axiom of dependent choice

               Comment.Math.Univ.Carolinae 40 (1999) 77-775

               (with K. Keremedis)

 

       138 Weak separatedness for nearness spaces

               Indian J. Math. 41 (1999) 15-24

               (with D. Vaughan)

 

       139 Powers of 2

              Notre Dame Journal of Formal Logic 40 (1999) 346 -351

              (with K. Keremedis)

 

2000 140 Generating ordered topological spaces from LOTS

                Topol. Appl. 105 (2000) 231-235

                (with E. Kronheimer)

 

         141 Nearness, subfitness and sequential regularity

                Appl. Categ. Structures 8 (2000) 67-80

                (with A. Pultr)

 

         142 Free adjunction of morphisms

               Appl. Categ. Structures 8 (2000) 595-606

               (with L. Schröder)

 

        143 Abstract initiality

              Comment. Math. Univ. Carolinae 41 (2000) 575-583

              (with L. Schröder)

 

       144 The Baire Category Theorem and Choice

              Topol. Appl. 108 (2000) 157-167

              (with K. Keremedis)

 

       145 On countable products of finite Hausdorff spaces

              Math. Logic Quart. 46 (200) 537-542

              (with K. Keremedis)

 

2001 146 On the strict completion of a nearness space

                Quaestiones Math. 24 (2001) 39-50

                (with H.L. Bentley)

 

        147 Is the construct of L-topological spaces a co-tower extension

              of some simpler construct?

              Quaestiones Math. 24 (2001) 147-155

              (with D. Zhang)

  

       148 The functor that wouldn't be

              Categorical Perspectives (eds. J. Koslowski and A. Melton),

              Birkhäuser, 2001, 29-35

 

       149 The emergence of functors

              Categorical Perspectives (eds. J. Koslowski and A. Melton),

              Birkhäuser, 2001, 37-45

 

       150 The naturals are Lindelöf iff Ascoli holds

              Categorical Perspectives (eds. J. Koslowski and A. Melton),

              Birkhäuser, 2001, 191-196

 

       151 Abelian groups: simultaneously reflective and coreflective

              subcategories versus modules

             Categorical Perspectives (eds. J. Koslowski and A. Melton),

             Birkhäuser, 2001, 265-281

             (with R.E. Bashir and M. Husek)

 

       152 Free factorizations

             Appl. Categ. Structures 9 (2001) 571-593

             (with L. Schröder)

 

2002 153 Weak factorization systems and topological functors

                Appl. Categ. Structures 10 (2002) 237-249

                (with J. Adamek, J. Rosicky, and W. Tholen)

 

         154 Products of Lindelöf T2-spaces are Lindelöf - in some models of ZF

                Comment.Math.Univ.Carolinae 43 (2002) 319-333

 

         155 A characterization of the prime closed filter compactification

                of a topological space

               Quaestiones Math. 25 (2002) 381-396

               (with H.L. Bentley)

 

         156 On a generalized small-object argument for the injective subcategory problem

                Cahiers Topol. Geom. Diff. Categ. 43 (2002) 83-106

                (with J. Adamek, J. Rosicky, and W. Tholen)

 

        157 Zum Begriff des topologischen Raumes

               In: Felix Hausdorff: Gesammelte Werke, Bd. II , Springer 2002, 675-744

               (with M. Epple, M. Husek, G. Preuss, W. Purkert, and E. Scholz)

 

        158 Trennungsaxiome

               In: Felix Hausdorff: Gesammelte Werke, Bd. II , Springer 2002, 745-751

               (with M. Husek and G. Preuss)

 

        159 Zusammenhang

               In: Felix Hausdorff: Gesammelte Werke, Bd. II , Springer 2002, 752-756

               (with M. Husek and G. Preuss)

 

       160 Abzählbarkeitsaxiome

               In: Felix Hausdorff: Gesammelte Werke, Bd. II , Springer 2002, 757-761

               (with M. Husek and G. Preuss)

 

        161 Hausdorff-Metriken und Hyperräume

                In: Felix Hausdorff: Gesammelte Werke, Bd. II , Springer 2002, 762-766

               (with M. Husek and G. Preuss)

 

        162 Vervollständigung und totale Beschränktheit

                In: Felix Hausdorff: Gesammelte Werke, Bd. II , Springer 2002, 767-772

               (with M. Husek and G. Preuss)

 

        163 Striking differences between ZF and ZF + weak choice in view of

               metric spaces

               Quaestiones Math. 25 (2002) 405-420

               (with K. Keremedis and E. Tachtsis)

 

        164 The Boolean prime ideal theorem holds iff maximal open filters exist

              Cahiers Topol. Geom. Diff. Categ. 43 (2002) 313-315

              (with K. Keremedis and E. Tachtsis)

 

        165 Injective hulls are not natural

              Algebra Univers. 48 (2002) 379-388

              (with J. Adamek, J. Rosicky, and W. Tholen)

 

2003 166 The axiom of choice holds iff maximal closed filters exist

               Math. Logic Quarterly 49 (2003) 323-324

 

2004 167 Merotopological spaces

                Appl. Categ. Structures 12 (2004) 155-180

                (with H.L. Bentley)

 

         168 On closure operators, the reals, and choice

                Quaestiones Math. 27 (2004) 147-151

                (with E. Giuli)

 

2005 169 Countable sums and products of Loeb and selective metric spaces

                Comment. Math. Univ. Carolinae 46 (2005) 373-384

                (with K. Keremedis and E. Tachtsis)

 

         170 Zur Existenz maximaler Filter und Ideale

                Seminarbericht Fb. Mathematik Univ. Hagen 76 (2005) 31-42

 

          171 Graph-coloring and choice. A note on a note by Shelah and Soifer.

                 Quaestiones Math. 28 (2005) 317-319

                 (with Y.T. Rhineghost)

 

2006 172 On the epireflective hull of Top in Near.

                Topol. Appl. 153 (2006) 3071-3084

                (with H.L. Bentley and J.W. Carlson)

 

         173 On the number of Russell's socks or 2 + 2 + 2 + = ?

                Comment. Math. Univ. Carolinae 47 (2006) 707-717

                (with E. Tachtsis)

 

2007 174 Wieviele Socken hatte Bertrand Russell?

                Forum Berliner Math. Gesellschaft 1 (2007) 31-34

 

         175 Binary partitions in the absence of choice or Rearranging Russell's socks

                Quaestiones Mathematicae 30 (2007) 465-470

 

2008 176 Commentary on "Die Mengen G-delta  in vollständigen Räumen"

                by F.Hausdorff

                In: Felix Hausdorff: Gesammelte Werke, Bd. III, Springer 2008, 448-453

                (with M. Husek and G. Preuss)

 

         177 Commentary on "Erweiterung einer Homöomorphie" by F. Hausdorff

                In: Felix Hausdorff: Gesammelte Werke, Bd. III, Springer 2008, 465-469

                (with M. Husek and G. Preuss)

 

         178 Commentary on "Über innere Abbildungen" by F. Hausdorff

                In: Felix Hausdorff: Gesammelte Werke, Bd. III, Springer 2008, 489-501

                (with M. Husek and G. Preuss)

 

        179 Commentary on "Gestufte Räume" by F. Hausdorff

                In: Felix Hausdorff: Gesammelte Werke, Bd. III, Springer 2008, 522-524

                (with M. Husek and G. Preuss)

 

       180 Commentary on "Die schlichten stetigen Bilder des Nullraums" by F. Hausdorff

                In: Felix Hausdorff: Gesammelte Werke, Bd. III, Springer 2008, 549-554

                (with M. Husek and G. Preuss)

 

       181 Commentary on "Erweiterung einer stetigen Abbildung" by F. Hausdorff

                In: Felix Hausdorff: Gesammelte Werke, Bd. III, Springer 2008, 565-568

                (with M. Husek and G. Preuss)

 

       182 Kommentar: Gegenbeispiele in der Topologie

                In: Felix Hausdorff: Gesammelte Werke, Bd. III, Springer 2008, 751-754

                (with M. Husek and G. Preuss)

 

       183 Commentary to "Metrisierung kompakter und normaler Räume"

              by F. Hausdorff

              In: Felix Hausdorff: Gesammelte Werke, Bd. III, Springer 2008, 759-761

              (with M. Husek and G. Preuss)

 

       184 Commentary to "Der metrische separable Universalraum" by F. Hausdorff

               In: Felix Hausdorff: Gesammelte Werke, Bd. III, Springer 2008, 766-769

               (with M. Husek and G. Preuss)

 

       185 Commentary to "Räume E*"  by F. Hausdorff

               In: Felix Hausdorff: Gesammelte Werke, Bd. III, Springer 2008, 776-777

              (with M. Husek and G. Preuss)

 

       186 Hausdorffs Studien zu Fundamentalkonstruktionen in der Topologie

              In: Felix Hausdorff: Gesammelte Werke, Bd. III, Springer 2008, 778-786

              (with M. Husek and G. Preuss)

 

       187 Hausdorffs Studien Über Kurven, Bögen und Peano-Kontinua

                In: Felix Hausdorff: Gesammelte Werke, Bd. III, Springer 2008, 798-825

                (with M. Husek and G. Preuss)

  

        188 Hausdorffs Studien zur Dimensionstheorie

                In: Felix Hausdorff: Gesammelte Werke, Bd. III, Springer 2008, 840-853

                (with M. Husek and G. Preuss)

       189 The paradox of Russell's pairs of socks

              Forum der Berliner Math. Gesellschaft 4 (2008), 17-21

 

       190 Mathematische Paradoxien mit und ohne Auswahlaxiom

              Forum der Berliner Math. Gesellschaft 7 (2008), 16-21

 

       191 Tychonoff products of super second countable and super separable

                Metric spaces

                Cahiers Topol. Geom. Diff. Categ. 49 (2008), 267-279

                (with K. Keremedis and E. Tachtis)

 

2009 192 Canonical subbase-compactness of topological products

                Topology and Appl. 156 (2009) 1962-1965

 

         193 Topological sums and products in ZF-set theory

                Topolog and Appl. 156 (2009) 1994-1999

                (with K. Keremedis)

 

         194 On super second countable and super separable metric spaces

                Topology Proceedings 33 (2009), 1-11

                (with K. Keremedis and E. Tachtsis)

 

2010 195 On Russell and anti Russell-cardinals

                Quaestiones Math. 33 (2010) 1-9

                (with K. Keremedis and E. Tachtsis)

 

         196 Odd-sized partitions of Russell-sets

                 Math. Logic Quarterly 56 (210) 185 - 190

                 (with E. Tachtsis)

 

         197 On Eraldo’s and Bertrand’s pairs of socks

                 - Some paradoxical observations –

                Workshop on Categorical Topology

                Dept. Mat. Univ. Acores, Ponto Delgado, Portugal 2010, 17 - 21

         

 2011 198 The finite and the infinite

                 Appl. Categor. Struct. 19 (2011) 455 - 468

              

          199 The cardinal inequality  a^2 < 2^a

                 Quaestiones Math.34 (2011) 35 - 66

                 (with P. Howard and E. Tachtsis)

 

          200 Extending compact topologies to compact Hausdorff topologies in ZF

                 Topology and Applications 158 (2011) 2279 - 2286

                 (with K. Keremedis)

 

         201 AC holds iff every compact completely regular topology can be extended to a

                 compact Tychonoff topology

                 Commentationes Math. Univ. Carolinae 52 (2011) 139 - 143

                 (with K. Keremedis)

        

         202  Remarks on the space Aleph-1 in ZF

                 Topology Appl. 158 (2011) 229 - 237

                 (with K. Keremedis)

 

203    Compactnessand Hausdorffness – old and new observations

Forum der Berliner Math. Gesellschaft 18 (2011) 40 – 49

 

2012  204  On special partitions of Dedekind- and Russell-sets

                  Comment. Math. Univ. Carolinae 53 (2012) 105 - 122

                  (with P. Howart  and E. Tachtsis)

 

205    Finiteness classes and small violations of choice

         Notre Dame J. Formal Logic

         (with P. Howart  and E. Tachtsis)

 

2014  206  Separable connected metric spaces need not have continuum size in ZF

       Topology and its Applications 161 (2014) 397 – 406

                  (with K. Keremedis)        

 

207    Notions of Finite and Properties of Finiteness Classes without the Axiom of

          Choice

          Journal of Symbolic Logic

          (with P. Howard and E. Tachtsis)

 

208        On the metric reflection of a pseudometric space in ZF

Comment. Math. Univ. Carolinae

(with K. Keremedis)