Homology, Homotopy and Applications

Volume 17 (2015)

Number 2

Fibrancy of partial model categories

Pages: 53 – 80

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


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

Viktoriya Ozornova (Fachbereich Mathematik, Universität Bremen, Germany)


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.


Thomason model structure, categories, homotopy, fibrant

2010 Mathematics Subject Classification

18G30, 18G55, 55U35

Published 3 December 2015