On the subdivision of small categories

Autores
del Hoyo, M.L.
Año de publicación
2008
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
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.
Fuente
Topol. Appl. 2008;155(11):1189-1200
Materia
Classifying space
Homotopy category
Posets
Subdivision
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by/2.5/ar
Repositorio
Biblioteca Digital (UBA-FCEN)
Institución
Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
OAI Identificador
paperaa:paper_01668641_v155_n11_p1189_delHoyo
Acceder
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network_name_str Biblioteca Digital (UBA-FCEN)
spelling On the subdivision of small categoriesdel Hoyo, M.L.Classifying spaceHomotopy categoryPosetsSubdivisionWe 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.2008info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfhttp://hdl.handle.net/20.500.12110/paper_01668641_v155_n11_p1189_delHoyoTopol. Appl. 2008;155(11):1189-1200reponame:Biblioteca Digital (UBA-FCEN)instname:Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturalesinstacron:UBA-FCENenginfo:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/2.5/ar2025-09-04T09:48:27Zpaperaa:paper_01668641_v155_n11_p1189_delHoyoInstitucionalhttps://digital.bl.fcen.uba.ar/Universidad públicaNo correspondehttps://digital.bl.fcen.uba.ar/cgi-bin/oaiserver.cgiana@bl.fcen.uba.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:18962025-09-04 09:48:31.81Biblioteca Digital (UBA-FCEN) - Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturalesfalse
dc.title.none.fl_str_mv On the subdivision of small categories
title On the subdivision of small categories
spellingShingle On the subdivision of small categories
del Hoyo, M.L.
Classifying space
Homotopy category
Posets
Subdivision
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
dc.creator.none.fl_str_mv del Hoyo, M.L.
author del Hoyo, M.L.
author_facet del Hoyo, M.L.
author_role author
dc.subject.none.fl_str_mv Classifying space
Homotopy category
Posets
Subdivision
topic Classifying space
Homotopy category
Posets
Subdivision
dc.description.none.fl_txt_mv 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.
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.
publishDate 2008
dc.date.none.fl_str_mv 2008
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/20.500.12110/paper_01668641_v155_n11_p1189_delHoyo
url http://hdl.handle.net/20.500.12110/paper_01668641_v155_n11_p1189_delHoyo
dc.language.none.fl_str_mv eng
language eng
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/2.5/ar
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by/2.5/ar
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv Topol. Appl. 2008;155(11):1189-1200
reponame:Biblioteca Digital (UBA-FCEN)
instname:Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
instacron:UBA-FCEN
reponame_str Biblioteca Digital (UBA-FCEN)
collection Biblioteca Digital (UBA-FCEN)
instname_str Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
instacron_str UBA-FCEN
institution UBA-FCEN
repository.name.fl_str_mv Biblioteca Digital (UBA-FCEN) - Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
repository.mail.fl_str_mv ana@bl.fcen.uba.ar
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