Homology, Homotopy and Applications

Volume 17 (2015)

Number 2

Fibrancy of partial model categories

Pages: 53 – 80

DOI: http://dx.doi.org/10.4310/HHA.2015.v17.n2.a5

Authors

Lennart Meier (University of Virginia, Charlottesville Va., U.S.A.)

Viktoriya Ozornova (Fachbereich Mathematik, Universität Bremen, Germany)

Abstract

We investigate fibrancy conditions in the Thomason model structure on the category of small categories. In particular, we show that the category of weak equivalences of a partial model category is fibrant. Furthermore, we describe connections to calculi of fractions.

Keywords

Thomason model structure, categories, homotopy, fibrant

2010 Mathematics Subject Classification

18G30, 18G55, 55U35

Full Text (PDF format)

Published 3 December 2015