$\infty$-cosheafification
Category Theory
2021-12-16 v2
Abstract
Cosheaves are a dual notion of sheaves. In this paper, we prove existence of a dual of sheafifications, called \textit{cosheafifications}, in the -category theory. We also prove that the -category of -cosheaves is presentable and equivalent to an -category of left adjoint functors.
Cite
@article{arxiv.2106.14135,
title = {$\infty$-cosheafification},
author = {Yuri Shimizu},
journal= {arXiv preprint arXiv:2106.14135},
year = {2021}
}