Weakly globular N-fold categories as a model of weak N-categories
Category Theory
2016-09-15 v1
Abstract
We study a new type of higher categorical structure, called weakly globular n-fold category, previously introduced by the author. We show that this structure is a model of weak n-categories by proving that it is suitably equivalent to the Tamsamani-Simpson model. We also introduce groupoidal weakly globular n-fold categories and show that they are algebraic models of n-types.
Keywords
Cite
@article{arxiv.1609.04072,
title = {Weakly globular N-fold categories as a model of weak N-categories},
author = {Simona Paoli},
journal= {arXiv preprint arXiv:1609.04072},
year = {2016}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1607.04870