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arXiv · 2112.06092

An homotopical description of small presheaves

Brice Le Grignou
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Abstract

This article describes the cocompletion of a category $C$ with finite limits as the homotopy category of some equivalence 2-groupoids in coproducts of elements of $C$. This yields a simple link between several definitions of an infinitary pretopos.

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Brice Le Grignou. 2021-12-11. An homotopical description of small presheaves. https://arxiv.org/abs/2112.06092

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