### Algebraic and Topological Combinatorics

Special Session at the Fall Eastern Section Meeting
of the American Mathematical Society

Williams College, Williamstown, MA
October 13-14, 2001

### Poset bundles

Abstract [ps] [pdf]: Let $B$ be a poset and $F$ be a PL manifold. We define a \emph{poset $F$-bundle} to be a function from $B$ to the set of posets with order complex PL homeomorphic to $F$ satisfying certain simple combinatorial conditions, and show how any poset $F$-bundle gives rise to a piecewise-linear $F$-bundle in a natural way. As an application, we give a construction of a PL sphere bundle associated to any matroid bundle.

This is joint work with Eric Babson.

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last updated: August 16, 2001