of the American Mathematical Society

Laura Anderson

(SUNY at Binghampton)

## 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