Fibrancy of Partial Model Categories

2014/08/12 by Lennart Meier, Meier, Lennart, Viktoriya Ozornova +1 · 1 citation
Mathematics · #18G30 #18G55 #55U35 #Algebraic Topology (math.AT) #Category Theory (math.CT) #FOS: Mathematics #math.AT #math.CT #msc:18G30 #msc:18G55 #msc:55U35

paper · pdf · doi:10.48550/arxiv.1408.2743

30 pages

arxiv created 2014/08/12 · arxiv updated 2014/08/13

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.

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• Thomason-Type Model Structures on Simplicial Complexes and Graphs

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