Abstract
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.
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© 2011 Springer-Verlag Berlin Heidelberg
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Barmak, J.A. (2011). h-Regular Complexes and Quotients. In: Algebraic Topology of Finite Topological Spaces and Applications. Lecture Notes in Mathematics(), vol 2032. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22003-6_7
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DOI: https://doi.org/10.1007/978-3-642-22003-6_7
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-22002-9
Online ISBN: 978-3-642-22003-6
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