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Abstract:

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 h-regular C W -complex, generalizing the concept of regular CW -complex, and prove that the h-regular CW -complexes, which are a sort of combinatorial uptohomotopy objects, are modeled (up to homotopy) by their associated finite spaces. This is accomplished by generalizing a classical result of McCord on simplicial complexes. © 2008 Mathematical Sciences Publishers.

Registro:

Documento: Artículo
Título:One point reductions of finite spaces, h-regular CW-complexes and collapsibility
Autor:Barmak, J.; Minian, E.
Filiación:Departamento de Matematica, Universidad de Buenos Aires, Buenos Aires, Argentina
Palabras clave:Collapses; Finite topological spaces; Posets; Regular CW-complexes; Simplicial complexes; Weak homotopy types
Año:2008
Volumen:8
Número:3
Página de inicio:1763
Página de fin:1780
DOI: http://dx.doi.org/10.2140/agt.2008.8.1763
Título revista:Algebraic and Geometric Topology
Título revista abreviado:Algebraic Geom. Topology
ISSN:14722747
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_14722747_v8_n3_p1763_Barmak

Referencias:

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  • May, J., (2003) Finite Topological Spaces, Notes For Reu
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Citas:

---------- APA ----------
Barmak, J. & Minian, E. (2008) . One point reductions of finite spaces, h-regular CW-complexes and collapsibility. Algebraic and Geometric Topology, 8(3), 1763-1780.
http://dx.doi.org/10.2140/agt.2008.8.1763
---------- CHICAGO ----------
Barmak, J., Minian, E. "One point reductions of finite spaces, h-regular CW-complexes and collapsibility" . Algebraic and Geometric Topology 8, no. 3 (2008) : 1763-1780.
http://dx.doi.org/10.2140/agt.2008.8.1763
---------- MLA ----------
Barmak, J., Minian, E. "One point reductions of finite spaces, h-regular CW-complexes and collapsibility" . Algebraic and Geometric Topology, vol. 8, no. 3, 2008, pp. 1763-1780.
http://dx.doi.org/10.2140/agt.2008.8.1763
---------- VANCOUVER ----------
Barmak, J., Minian, E. One point reductions of finite spaces, h-regular CW-complexes and collapsibility. Algebraic Geom. Topology. 2008;8(3):1763-1780.
http://dx.doi.org/10.2140/agt.2008.8.1763