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
		Grundzüge der 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,
		2. ed. Heldermann Verlag 1979, 3. ed. Heldermann Verlag 2007
		(with G.E. Strecker)
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. Adámek)
		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	$T_{\nu}$-Abgeschlossenheit und $T_{\nu}$-Minimalität
		Math. Zeitschrift 88 (1965) 285-294
	5	Wann sind alle stetigen Abbildungen in $Y$ konstant?
		Math. Zeitschrift 90 (1965) 152-154
	6	$\cal E$-kompakte Räume
		Habilitationsschrift, Freie Universität Berlin 1965
1966	7	Nicht alle $T_2$-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	$\cal E$-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 $f\colon B\longrightarrow A$
		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 $\cap$ 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 $P (X\times Y) = PX\times PY$
		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 $\longrightarrow$ 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. Adámek and G.E. Strecker)
	57	The structure of initial completions
		Cahiers Topol. Géom. Diff. 20 (1979) 333-352
		(with J. Adámek and G.E. Strecker)
	58	Algebra $\cup$ 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
		alias: Y.T. Rhineghost, (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. Novák, Gähler, Herrlich
		and Mikusinski)
		(Akademie Verlag 1985) 165-176
	78	Ascoli's theorem for a class of merotopic spaces
		Convergence Structures (eds. Novák, 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. Adámek)
	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. Hušek)
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. Géom. Diff. Catég. 29 (1988) 175-192
		(with J. Adámek and J. Rosický)
	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. Adámek 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. Adámek and Mac Lane)
		World Scientific, Singapore 1989, 89-94
	98	Completeness almost implies cocompleteness
		Categorical Topology (eds. Adámek and Mac Lane)
		World Scientific, Singapore 1989, 246-256
		(with J. Adámek and J. Reiterman)
	99	Zero sets and complete regularity for nearness spaces
		Categorical Topology (eds. Adámek 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. Adámek)
	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. Hušek)
	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 $\cup$ 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. Géom. Diff. Catég. 33 (1992) 71-93
		(with G.C.L. Brümmer and E. Giuli)
	109	Hyperconvex hulls of metric spaces
		Topology and Appl. 44 (1992) 181-187
	110	Compactness = completeness $\cap$ 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. Hušek and van Mill)
		Elsevier Sci. Publ. 1992, Ch. 11, 369-403
		(with M. Hušek)
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. Hušek)
	114	Compact $T_0$-Spaces and $T_0$-Compactifications
		Appl. Categ. Struct. 1 (1993) 111-132
	115	On the failure of Birkhoff's Theorem for locally
		small based equational categories of algebras.
		Cahiers Topol. Géom. Diff. Catég. 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 $\mathbb{N}$ 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. Stepr$\bar{\rm a}$ns)
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. Hušek)
	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. Hušek)
	137	Products, the Baire category theorem, and the axiom of  dependent choice
		Comment.Math.Univ.Carolinae 40 (1999) 771-775
		(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 adjunctions 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 (2000) 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) 141 - 149
		(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
	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. Adámek, J. Rosický, 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
	156	On a generalized small--object argument for the injective subcategory problem
		Cahiers topol. géom. diff. catég. 43 (2002) 83 - 106
		(with J. Adámek, J. Rosický, and W. Tholen)
	157	Zum Begriff des topologischen Raumes
		In: Felix Hausdorff: Gesammelte Werke, Bd. II, Springer 2002, 675 - 744
		(with M. Epple, M. Hušek, G. Preuss, W. Purkert, and E. Scholz
	158	Trennungsaxiome
		In: Felix Hausdorff: Gesammelte Werke, Bd. II, 745 - 751
		(with M. Hušek and G. Preuss)
	159	Zusammenhang
		In: Felix Hausdorff: Gesammelte Werke, Bd. II, 752 - 756
		(with M. Hušek and G. Preuss)
	160	Abzählbarkeitsaxiome
		In: Felix Hausdorff: Gesammelte Werke, Bd. II,757 - 761
		(with M. Hušek and G. Preuss)
	161	Hausdorff-Metriken und Hyperräume
		In: Felix Hausdorff: Gesammelte Werke, Bd. II, 762 - 766
		(with M. Hušek and G. Preuss)
	162	Vervollständigung und totale Beschränktheit
		In: Felix Hausdorff: Gesammelte Werke, Bd. II, 767 - 772
		(with M. Hušek 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
		alias Y.T. Rhineghost (with K. Keremedis and E. Tachtsis)
	165	Injective hulls are not natural
		Algebra Univers. 48 (2002) 379-388
		(with J. Adámek, 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. 2 (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
		Seminararbeit 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 hat Bertrand Russell?l
		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 Menge G  in vollständigen Räumen" by F. Hausdorff
		In: Felix Hausdorff: Gesammelte Werke, Bd. III, Springer 2008, 448-453
		(with M. Hušek 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. Hušek and G. Preuss)
	178	Commentary on "Über innere Abbildungen" by F. Hausdorff
		In: Felix Hausdorff: Geammelte Werke, Bd. III, Springer 2008, 489-501
		(with M. Hušek and G. Preuss)
	179	Commentary on "Gestufte Räume" by F. Hausdorff
		In: Felix Hausdorff: Gesammelte Werke, Bd. III, Springer 2008, 522-524
		(with M. Hušek 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. Hušek 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. Hušek and G. Preuss)
	182	Kommentar: Gegenbeispiele in der Topologie
		In: Felix Hausdorff: Gesammelte Werke, Bd. III, Springer 2008, 751-754
		(with M. Hušek 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. Hušek 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. Hušek and G. Preuss)
	185	Commentary to "Räume $\cal E$* " by F. Hausdorff
		In: Felix Hausdorff: Gesammelte Werke, Bd. III, Springer 2008, 776-777
		(with M. Hušek and G. Preuss)
	186	Hausdorffs Studien zu Fundamentalkonstruktionen in der Topologie
		In: Felix Hausdorff: Gesammelte Werke, Bd. III, Springer 2008, 778-786
		(with M. Hušek 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. Hušek and G. Preuss)
	188	Hausdorffs Studien zur Dimensionstheorie
		In: Felix Hausdorff: Gesammelte Werke, Bd. III, Springer 2008, 840-853
		(with M. Hušek 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. Géom. Diff. Catég. 49 (2008), 267-279
		(with K. Keremedis and E. Tachtsis)
2009	192	Canonical subbase-compactness of topological products
		Topology and Appl. 156 (2009), 1962-1965
	193	Topological sums and products in ZF-set theory
		Topology 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	Odd-sized partitions of Russell-sets
		Math. Logic Quarterly 56 (2010), 185-190
		(with E. Tachtsis)
	196	On Russell and anti-Russell-cardinals
		Quaestiones Math. 33 (2010), 1 - 9
		(with K. Keremedis and E. Tachtsis)
	197	On Eraldo's and Bertrands's pairs of socks
		- Some paradoxical observations -
		Workshop on Categorical Topology
		Dept. of Mat. Univ. Acores, Ponto Delgado, Portugal 2010, 17-21
2011	198	The cardinal inequality
		Quaestiones Math. 34 (2011), 35-66
		(with P. Howard and E. Tachtsis)
	199	AC holds iff every compact completely regular topology can be extended
		to a compact Tychnonoff topology
		Comment.. Math. Univ. Carolin. 52 (2011), 139-143
		(with K. Keremedis)
	200	The finite and the infinite
		Appl. Categ. Structures  19 (2011), 455-468
	201	Remarks on the space      in  ZF
		Topology and Appl. 158
		(with K. Keremedis)
	202	Extending compact topologies to compact Hausdorff topologies in ZF
		Topology and Apoo. 158 (2011), 2279-2286
		(with K. Keremedis)
	203	Compactness and Hausdorffness - old and new observations
		Forum der Berliner Math. Gesellschaft 18 (2011), 40-49