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Abstract:

Every small category C has a classifying space BC associated in a natural way. This construction can be extended to other contexts and set up a fruitful interaction between categorical structures and homotopy types. In this paper, we study the classifying space B2C of a 2-category C and prove that, under certain conditions, the loop space ΩcB2C can be recovered up to homotopy from the endomorphisms of a given object. We also present several subsidiary results that we develop to prove our main theorem. © 2011 Elsevier B.V.

Registro:

Documento: Artículo
Título:On the loop space of a 2-category
Autor:del Hoyo, M.L.
Filiación:Departamento de Matemática, FCEyN, Universidad de Buenos Aires, Buenos Aires, Argentina
Año:2012
Volumen:216
Número:1
Página de inicio:28
Página de fin:40
DOI: http://dx.doi.org/10.1016/j.jpaa.2011.05.001
Título revista:Journal of Pure and Applied Algebra
Título revista abreviado:J. Pure Appl. Algebra
ISSN:00224049
CODEN:JPAAA
PDF:https://bibliotecadigital.exactas.uba.ar/download/paper/paper_00224049_v216_n1_p28_delHoyo.pdf
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00224049_v216_n1_p28_delHoyo

Referencias:

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Citas:

---------- APA ----------
(2012) . On the loop space of a 2-category. Journal of Pure and Applied Algebra, 216(1), 28-40.
http://dx.doi.org/10.1016/j.jpaa.2011.05.001
---------- CHICAGO ----------
del Hoyo, M.L. "On the loop space of a 2-category" . Journal of Pure and Applied Algebra 216, no. 1 (2012) : 28-40.
http://dx.doi.org/10.1016/j.jpaa.2011.05.001
---------- MLA ----------
del Hoyo, M.L. "On the loop space of a 2-category" . Journal of Pure and Applied Algebra, vol. 216, no. 1, 2012, pp. 28-40.
http://dx.doi.org/10.1016/j.jpaa.2011.05.001
---------- VANCOUVER ----------
del Hoyo, M.L. On the loop space of a 2-category. J. Pure Appl. Algebra. 2012;216(1):28-40.
http://dx.doi.org/10.1016/j.jpaa.2011.05.001