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.
CITATION STYLE
Barmak, J. A. (2011). h-Regular Complexes and Quotients. In Lecture Notes in Mathematics (Vol. 2032, pp. 93–104). Springer Verlag. https://doi.org/10.1007/978-3-642-22003-6_7
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