Homology, Homotopy and Applications
Volume 18 (2016)
Brown categories and bicategories
Pages: 217 – 232
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.
relative category, infinity-category, localization, Brown category, Tamsamani category
2010 Mathematics Subject Classification
18D05, 18G30, 18G55