English

An explicit comparison between $2$-complicial sets and $\Theta_2$-spaces

Algebraic Topology 2021-04-28 v1

Abstract

We produce a direct Quillen equivalence between two models of (,2)(\infty,2)-categories: the complete Segal Θ2\Theta_2-spaces due to Rezk and the 22-complicial sets due to Verity.

Cite

@article{arxiv.2104.13292,
  title  = {An explicit comparison between $2$-complicial sets and $\Theta_2$-spaces},
  author = {Julia E. Bergner and Viktoriya Ozornova and Martina Rovelli},
  journal= {arXiv preprint arXiv:2104.13292},
  year   = {2021}
}
R2 v1 2026-06-24T01:34:10.948Z