On the subdivision of small categories
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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| Formato: | Artículo publishedVersion |
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2008
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_01668641_v155_n11_p1189_delHoyo https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_01668641_v155_n11_p1189_delHoyo_oai |
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| Sumario: | 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. |
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