On the subdivision of small categories

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We present an intrinsic and concrete development of the subdivision of small categories, give some simple examples and derive its fundamental properties. As an application, we deduce an alternative way to compare the homotopy categories of spaces and small categories, by using partially ordered sets...

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Detalles Bibliográficos
Autor principal: del Hoyo, M.L.
Formato: Artículo publishedVersion
Lenguaje:Inglés
Publicado: 2008
Materias:
Classifying space
Homotopy category
Posets
Subdivision
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_01668641_v155_n11_p1189_delHoyo
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paperaa:paper_01668641_v155_n11_p1189_delHoyo
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spelling paperaa:paper_01668641_v155_n11_p1189_delHoyo2023-06-12T16:46:56Z On the subdivision of small categories Topol. Appl. 2008;155(11):1189-1200 del Hoyo, M.L. Classifying space Homotopy category Posets Subdivision We present an intrinsic and concrete development of the subdivision of small categories, give some simple examples and derive its fundamental properties. As an application, we deduce an alternative way to compare the homotopy categories of spaces and small categories, by using partially ordered sets. This yields a new conceptual proof to the well-known fact that these two homotopy categories are equivalent. © 2008 Elsevier B.V. All rights reserved. Fil:del Hoyo, M.L. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2008 info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion application/pdf eng info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_01668641_v155_n11_p1189_delHoyo
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
language Inglés
orig_language_str_mv eng
topic Classifying space
Homotopy category
Posets
Subdivision
spellingShingle Classifying space
Homotopy category
Posets
Subdivision
del Hoyo, M.L.
On the subdivision of small categories
topic_facet Classifying space
Homotopy category
Posets
Subdivision
description We present an intrinsic and concrete development of the subdivision of small categories, give some simple examples and derive its fundamental properties. As an application, we deduce an alternative way to compare the homotopy categories of spaces and small categories, by using partially ordered sets. This yields a new conceptual proof to the well-known fact that these two homotopy categories are equivalent. © 2008 Elsevier B.V. All rights reserved.
format Artículo
Artículo
publishedVersion
author del Hoyo, M.L.
author_facet del Hoyo, M.L.
author_sort del Hoyo, M.L.
title On the subdivision of small categories
title_short On the subdivision of small categories
title_full On the subdivision of small categories
title_fullStr On the subdivision of small categories
title_full_unstemmed On the subdivision of small categories
title_sort on the subdivision of small categories
publishDate 2008
url http://hdl.handle.net/20.500.12110/paper_01668641_v155_n11_p1189_delHoyo
work_keys_str_mv AT delhoyoml onthesubdivisionofsmallcategories
_version_ 1769810113701347328

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