One point reductions of finite spaces, h-regular CW-complexes and collapsibility

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, an...

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Publicado: 2008
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Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_14722747_v8_n3_p1763_Barmak
http://hdl.handle.net/20.500.12110/paper_14722747_v8_n3_p1763_Barmak
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spelling paper:paper_14722747_v8_n3_p1763_Barmak2023-06-08T16:17:22Z One point reductions of finite spaces, h-regular CW-complexes and collapsibility Collapses Finite topological spaces Posets Regular CW-complexes Simplicial complexes Weak homotopy types 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. 2008 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_14722747_v8_n3_p1763_Barmak http://hdl.handle.net/20.500.12110/paper_14722747_v8_n3_p1763_Barmak
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Collapses
Finite topological spaces
Posets
Regular CW-complexes
Simplicial complexes
Weak homotopy types
spellingShingle Collapses
Finite topological spaces
Posets
Regular CW-complexes
Simplicial complexes
Weak homotopy types
One point reductions of finite spaces, h-regular CW-complexes and collapsibility
topic_facet Collapses
Finite topological spaces
Posets
Regular CW-complexes
Simplicial complexes
Weak homotopy types
description 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.
title One point reductions of finite spaces, h-regular CW-complexes and collapsibility
title_short One point reductions of finite spaces, h-regular CW-complexes and collapsibility
title_full One point reductions of finite spaces, h-regular CW-complexes and collapsibility
title_fullStr One point reductions of finite spaces, h-regular CW-complexes and collapsibility
title_full_unstemmed One point reductions of finite spaces, h-regular CW-complexes and collapsibility
title_sort one point reductions of finite spaces, h-regular cw-complexes and collapsibility
publishDate 2008
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_14722747_v8_n3_p1763_Barmak
http://hdl.handle.net/20.500.12110/paper_14722747_v8_n3_p1763_Barmak
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