English

The Local Joyal Model Structure

Category Theory 2016-07-20 v2

Abstract

It is shown that the Joyal quasi-category model structure for simplicial sets extends to a model structure on simplicial presheaves, for which the weak equivalences are local (or stalkwise) Joyal equivalences.

Keywords

Cite

@article{arxiv.1507.08723,
  title  = {The Local Joyal Model Structure},
  author = {Nicholas Meadows},
  journal= {arXiv preprint arXiv:1507.08723},
  year   = {2016}
}
R2 v1 2026-06-22T10:22:59.975Z