A counterexample in quasi-category theory
Algebraic Topology
2019-10-22 v3 Category Theory
Abstract
We give an example of a morphism of simplicial sets which is a monomorphism, bijective on 0-simplices, and a weak categorical equivalence, but which is not inner anodyne. This answers an open question of Joyal. Furthermore, we use this morphism to refute a plausible description of the class of fibrations in Joyal's model structure for quasi-categories.
Keywords
Cite
@article{arxiv.1904.04965,
title = {A counterexample in quasi-category theory},
author = {Alexander Campbell},
journal= {arXiv preprint arXiv:1904.04965},
year = {2019}
}
Comments
3 pages; to appear in Proceedings of the AMS