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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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_14722747_v8_n3_p1763_Barmak |
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todo:paper_14722747_v8_n3_p1763_Barmak2023-10-03T16:17:56Z One point reductions of finite spaces, h-regular CW-complexes and collapsibility Barmak, J. Minian, E. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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 |
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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 Barmak, J. Minian, E. 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. |
| format |
JOUR |
| author |
Barmak, J. Minian, E. |
| author_facet |
Barmak, J. Minian, E. |
| author_sort |
Barmak, J. |
| 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 |
| url |
http://hdl.handle.net/20.500.12110/paper_14722747_v8_n3_p1763_Barmak |
| work_keys_str_mv |
AT barmakj onepointreductionsoffinitespaceshregularcwcomplexesandcollapsibility AT miniane onepointreductionsoffinitespaceshregularcwcomplexesandcollapsibility |
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1782025892153786368 |