INVESTIGADORES
BARMAK Jonathan Ariel
artículos
Título:
One-point reductions of finite spaces, h-regular CW-complexes and collapsibility
Autor/es:
JONATHAN ARIEL BARMAK; ELIAS GABRIEL MINIAN
Revista:
Algebraic & Geometric Topology
Referencias:
Año: 2008 vol. 8 p. 1763 - 1780
ISSN:
1472-2747
Resumen:
We investigate one-point reduction methods of finite topological spaces. These methods allow one to study homotopy theory of cell complexes by means of elementary moves of their finite models. We also introduce the notion of hregular CWcomplex, generalizing the concept of regular CWcomplex, and prove that the hregular CWcomplexes, which are a sort of combinatorial-up-to-homotopy objects, are modeled (up to homotopy) by their associated finite spaces. This is accomplished by generalizing a classical result of McCord on simplicial complexes.