Geodesic
What does the classifying space of a category classify?
Homology, homotopy, and applications, Tome 7 (2005) no. 1, pp. 185-195.

Voir la notice de l'article provenant de la source International Press of Boston

The classifying space of a small category classifies sheaves whose values are contravariant functors from that category to sets and whose stalks are representable.
DOI : 10.4310/HHA.2005.v7.n1.a10
Classification : 18F20, 18G55, 57T30
Keywords: category, classifying space, sheaf, representable functor 
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     author = {Michael Weiss},
     title = {What does the classifying space of a category classify?},
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     pages = {185--195},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4310/HHA.2005.v7.n1.a10/}
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Michael Weiss. What does the classifying space of a category classify?. Homology, homotopy, and applications, Tome 7 (2005) no. 1, pp. 185-195. doi : 10.4310/HHA.2005.v7.n1.a10. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2005.v7.n1.a10/

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