Homology, Homotopy and Applications

Volume 7 (2005)

Number 1

What does the classifying space of a category classify?

Pages: 185 – 195

DOI: https://dx.doi.org/10.4310/HHA.2005.v7.n1.a10

Author

Michael Weiss (Department of Mathematics, University of Aberdeen, Scotland, United Kingdom)

Abstract

The classifying space of a small category classifies sheaves whose values are contravariant functors from that category to sets and whose stalks are representable.

Keywords

category, classifying space, sheaf, representable functor

2010 Mathematics Subject Classification

18F20, 18G55, 57T30

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Published 1 January 2005