Quasi-unital $\infty$-Categories
Algebraic Topology
2016-01-20 v2 Category Theory
Abstract
Inspired by Lurie's theory of quasi-unital algebras we prove an analogous result for -categories. In particular, we show that the unital structure of an -category can be uniquely recovered from the underlying non-unital structure once suitable candidates for units have been identified. The main result of this paper can be used to produce a proof for the 1-dimensional cobordism hypothesis, as described in a forthcoming paper.
Cite
@article{arxiv.1210.0212,
title = {Quasi-unital $\infty$-Categories},
author = {Yonatan Harpaz},
journal= {arXiv preprint arXiv:1210.0212},
year = {2016}
}