$\infty$-cosheafification

Yuri Shimizu

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arXiv · 2106.14135

$\infty$-cosheafification

Yuri Shimizu

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Abstract

Cosheaves are a dual notion of sheaves. In this paper, we prove existence of a dual of sheafifications, called \textit{cosheafifications}, in the $\infty$-category theory. We also prove that the $\infty$-category of $\infty$-cosheaves is presentable and equivalent to an $\infty$-category of left adjoint functors.

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Yuri Shimizu. 2021-06-27. $\infty$-cosheafification. https://arxiv.org/abs/2106.14135

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