Dualities in the complicial model of $\infty$-categories
Category Theory
2022-03-23 v1
Abstract
In this note, we study the connection between Gray tensor product and suspension. We derive a characterization of weak equivalences as fully faithful and essentially surjective functors. We construct the duality, a weak involution that reverses the direction of even dimensional cells. We conclude by studying Grothendieck fibrations of complicial sets.
Keywords
Cite
@article{arxiv.2203.11845,
title = {Dualities in the complicial model of $\infty$-categories},
author = {Félix Loubaton},
journal= {arXiv preprint arXiv:2203.11845},
year = {2022}
}
Comments
This text is still in draft form. A new version should quickly replace this one