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: JOUR
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 todo:paper_01668641_v155_n11_p1189_delHoyo
record_format dspace
spelling todo:paper_01668641_v155_n11_p1189_delHoyo2023-10-03T15:04:28Z On the subdivision of small categories 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. JOUR 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)
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 JOUR
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
url http://hdl.handle.net/20.500.12110/paper_01668641_v155_n11_p1189_delHoyo
work_keys_str_mv AT delhoyoml onthesubdivisionofsmallcategories
_version_ 1807322699109761024

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