Homology, Homotopy and Applications
Volume 7 (2005)
What does the classifying space of a category classify?
Pages: 185 – 195
The classifying space of a small category classifies sheaves whose values are contravariant functors from that category to sets and whose stalks are representable.
category, classifying space, sheaf, representable functor
2010 Mathematics Subject Classification
18F20, 18G55, 57T30
Published 1 January 2005