English

Brown categories and bicategories

Algebraic Topology 2016-02-09 v2 Category Theory

Abstract

In a Brown category of cofibrant objects, there is a model for the mapping spaces of the hammock localization in terms of zig-zags of length 2. In this paper we show how to assemble these spaces into a Segal category that models the infinity-categorical localization of the Brown category.

Cite

@article{arxiv.1506.02851,
  title  = {Brown categories and bicategories},
  author = {Geoffroy Horel},
  journal= {arXiv preprint arXiv:1506.02851},
  year   = {2016}
}

Comments

16 pages

R2 v1 2026-06-22T09:50:01.253Z