A model structure on GCat
Algebraic Topology
2022-11-15 v2 Category Theory
Abstract
We define a model structure on the category GCat of small categories with an action by a finite group G by lifting the Thomason model structure on Cat. We show there is a Quillen equivalence between GCat with this model structure and GTop with the standard model structure.
Cite
@article{arxiv.1311.4605,
title = {A model structure on GCat},
author = {Anna Marie Bohmann and Kristen Mazur and Angélica M. Osorno and Viktoriya Ozornova and Kate Ponto and Carolyn Yarnall},
journal= {arXiv preprint arXiv:1311.4605},
year = {2022}
}
Comments
12 pages. Final version. Will appear in Proceedings for WIT (Women in Topology Workshop)