Coverings of small categories and nerves
Category Theory
2012-10-23 v1 Algebraic Topology
Abstract
We prove a certain proposition which states a relationship between coverings of small categories and nerves. As its application, we prove that for a covering of finite categories, the zeta function of is the zeta function of to the number of sheet of . Moreover, we prove the formula for Euler characteristic of categories and coverings.
Cite
@article{arxiv.1210.5678,
title = {Coverings of small categories and nerves},
author = {Kazunori Noguchi},
journal= {arXiv preprint arXiv:1210.5678},
year = {2012}
}