Grothendieck ∞-groupoids, and still another definition of ∞-categories

2010/09/13 by Maltsiniotis, Georges
#18C10 #18D05 #18G55 #55P15 #55Q05 #Algebraic Topology (math.AT) #Category Theory (math.CT) #FOS: Mathematics

paper · doi:10.48550/arxiv.1009.2331

Abstract

The aim of this paper is to present a simplified version of the notion of ∞-groupoid developed by Grothendieck in "Pursuing Stacks" and to introduce a definition of ∞-categories inspired by Grothendieck's approach.

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