2011 | OriginalPaper | Chapter
h-Regular Complexes and Quotients
Author : Jonathan A. Barmak
Published in: Algebraic Topology of Finite Topological Spaces and Applications
Publisher: Springer Berlin Heidelberg
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The results of McCord show that each compact polyhedron |K| can be modeled, up to weak homotopy, by a finite space X(K). It is not hard to prove that this result can be extended to the so called regular CW-complexes. In this chapter we introduce a new class of complexes, generalizing the notion of simplicial complex and of regular complex, and we prove that they also can be modeled by their face posets.