A model structure on the category of small categories for coverings
Category Theory
2012-05-08 v2 Algebraic Topology
Abstract
We define a new model structure on the category of small categories, which is intimately related to the notion of coverings and fundamental groups of small categories. Fibrant objects in the model structure coincide with groupoids, and the fibrant replacement is the groupoidification.
Cite
@article{arxiv.0907.5339,
title = {A model structure on the category of small categories for coverings},
author = {Kohei Tanaka},
journal= {arXiv preprint arXiv:0907.5339},
year = {2012}
}
Comments
16 pages