Degeneracies in quasi-categories
Algebraic Topology
2018-02-27 v3 Category Theory
Abstract
In this note we show that a semisimplicial set with the weak Kan condition admits a simplicial structure, provided any object allows an idempotent self-equivalence. Moreover, any two choices of simplicial structures give rise to equivalent quasi-categories. The method is purely combinatorial and extends to semisimplicial objects in other categories; in particular to semi-simplicial spaces satisfying the Segal condition (semi-Segal spaces).
Cite
@article{arxiv.1702.08696,
title = {Degeneracies in quasi-categories},
author = {Wolfgang Steimle},
journal= {arXiv preprint arXiv:1702.08696},
year = {2018}
}
Comments
10 pages; minor corrections