Homology, Homotopy and Applications
Volume 19 (2017)
Čech complexes for covers of small categories
Pages: 281 – 291
We present a combinatorial analogue of the nerve theorem for covers of small categories, using the Grothendieck construction. We apply our result to prove the inclusion-exclusion principle for the Euler characteristic of a finite category.
nerve theorem, small category, inclusion-exclusion principle, Euler characteristic
2010 Mathematics Subject Classification
Published 6 June 2017