English

The homotopy bicategory of $(\infty, 1)$-categories

Category Theory 2013-11-05 v2 Algebraic Topology

Abstract

Evidence is given for the correctness of the Joyal-Riehl-Verity construction of the homotopy bicategory of the (,2)(\infty, 2)-category of (,1)(\infty, 1)-categories; in particular, it is shown that the analogous construction using complete Segal spaces instead of quasicategories yields a bicategorically equivalent 2-category.

Keywords

Cite

@article{arxiv.1310.0381,
  title  = {The homotopy bicategory of $(\infty, 1)$-categories},
  author = {Zhen Lin Low},
  journal= {arXiv preprint arXiv:1310.0381},
  year   = {2013}
}

Comments

31 pages, LaTeX. Fixed a typo; added a reference to the new Riehl-Verity preprint