Artículo
del Hoyo, M.L. "On the subdivision of small categories" (2008) Topology and its Applications. 155(11):1189-1200
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Abstract:
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.
Registro:
| Documento: | Artículo |
| Título: | On the subdivision of small categories |
| Autor: | del Hoyo, M.L. |
| Filiación: | Departamento de Matemática, FCEyN, Universidad de Buenos Aires, Buenos Aires, Argentina |
| Palabras clave: | Classifying space; Homotopy category; Posets; Subdivision |
| Año: | 2008 |
| Volumen: | 155 |
| Número: | 11 |
| Página de inicio: | 1189 |
| Página de fin: | 1200 |
| DOI: | http://dx.doi.org/10.1016/j.topol.2008.02.006 |
| Título revista: | Topology and its Applications |
| Título revista abreviado: | Topol. Appl. |
| ISSN: | 01668641 |
| CODEN: | TIAPD |
| PDF: | https://bibliotecadigital.exactas.uba.ar/download/paper/paper_01668641_v155_n11_p1189_delHoyo.pdf |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01668641_v155_n11_p1189_delHoyo |
Referencias:
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- Dwyer, W., Kan, D., Function complexes for diagrams of simplicial sets (1983) Proc. A, 86 (2)
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- Mac Lane, S., Categories for the Working Mathematician (1971) Grad. Text in Math., 5. , Springer
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- Segal, G., Classifying spaces and spectral sequence (1968) Publ. Math. Inst. Hautes Études Sci., 34
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Citas:
---------- APA ----------
(2008) . On the subdivision of small categories. Topology and its Applications, 155(11), 1189-1200.http://dx.doi.org/10.1016/j.topol.2008.02.006
---------- CHICAGO ----------
del Hoyo, M.L. "On the subdivision of small categories" . Topology and its Applications 155, no. 11 (2008) : 1189-1200.http://dx.doi.org/10.1016/j.topol.2008.02.006
---------- MLA ----------
del Hoyo, M.L. "On the subdivision of small categories" . Topology and its Applications, vol. 155, no. 11, 2008, pp. 1189-1200.http://dx.doi.org/10.1016/j.topol.2008.02.006
---------- VANCOUVER ----------
del Hoyo, M.L. On the subdivision of small categories. Topol. Appl. 2008;155(11):1189-1200.http://dx.doi.org/10.1016/j.topol.2008.02.006
