Thick simplices and quasi-categories

Ezra Getzler

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arXiv · 1307.6924

Thick simplices and quasi-categories

Ezra Getzler

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Abstract

Thick simplices are the nerves of the contractible groupoids obtained by inverting the arrows in the categories [n]. Using explicit expansions of simplicial subsets of the thick simplices, we present a new approach to results of Rezk and of Joyal and Tierney on quasi-categories and their associated Kan complexes of quasi-invertible morphisms.

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Ezra Getzler. 2013-10-09. Thick simplices and quasi-categories. https://arxiv.org/abs/1307.6924

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