\v{C}ech complexes for covers of small categories
Category Theory
2015-08-18 v1 Algebraic Topology
Abstract
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.
Cite
@article{arxiv.1508.03688,
title = {\v{C}ech complexes for covers of small categories},
author = {Kohei Tanaka},
journal= {arXiv preprint arXiv:1508.03688},
year = {2015}
}
Comments
12 pages