On the subdivision of small categories

Mostrar todas las versiones(3)

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...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autor principal: del Hoyo, M.L.
Formato: Artículo publishedVersion
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
http://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_01668641_v155_n11_p1189_delHoyo_oai
Aporte de:
Repositorio Digital de la Universidad de Buenos Aires (UBA) de Universidad de Buenos Aires
id I28-R145-paper_01668641_v155_n11_p1189_delHoyo_oai
record_format dspace
spelling I28-R145-paper_01668641_v155_n11_p1189_delHoyo_oai2020-10-19 del Hoyo, M.L. 2008 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. application/pdf http://hdl.handle.net/20.500.12110/paper_01668641_v155_n11_p1189_delHoyo info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar Topol. Appl. 2008;155(11):1189-1200 Classifying space Homotopy category Posets Subdivision On the subdivision of small categories info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion http://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_01668641_v155_n11_p1189_delHoyo_oai
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-145
collection Repositorio Digital de la Universidad de Buenos Aires (UBA)
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
http://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_01668641_v155_n11_p1189_delHoyo_oai
work_keys_str_mv AT delhoyoml onthesubdivisionofsmallcategories
_version_ 1766026674186485760

Ejemplares similares