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

preprint2010arXivOpen access

Abstract

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

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