What does the classifying space of a category classify ?

Michael Weiss

Research output: Contribution to journalArticlepeer-review


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

Original languageEnglish
Pages (from-to)185-195
Number of pages10
JournalHomology, Homotopy and Applications
Issue number1
Publication statusPublished - 2005


  • category
  • classifying space
  • sheaf
  • representable functor

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