A folk model structure on omega-cat
Category Theory
2009-06-17 v2
Abstract
We establish a model structure on the category of strict omega-categories. The constructions leading to the model structure in question are expressed entirely within the scope of omega-categories, building on a set of generating cofibrations and a class of weak equivalences as basic items. All object are fibrant while cofibrant objects are exactly the free ones. Our model structure transfers to n-categories along right-adjoints, for each n, thus recovering the known cases n = 1 and n = 2.
Keywords
Cite
@article{arxiv.0712.0617,
title = {A folk model structure on omega-cat},
author = {Yves Lafont and Francois Metayer and Krzysztof Worytkiewicz},
journal= {arXiv preprint arXiv:0712.0617},
year = {2009}
}
Comments
33 pages, expanded version of the original 17 pages synopsis, new sections added