A 2-Site for Continuous 2-Group Actions
Category Theory
2019-11-14 v1 Algebraic Topology
Abstract
Elmendorf's Theorem states that the category of continuous actions of a topological group is a Grothendieck topos in the sense that it is equivalent to a category of sheaves on a site. This paper offers a 2-dimensional generalization by showing that a certain 2-category of continuous actions of a topological 2-group is 2-equivalent to a 2-category of 2-sheaves on a suitable 2-site.
Keywords
Cite
@article{arxiv.1911.05141,
title = {A 2-Site for Continuous 2-Group Actions},
author = {Michael Lambert},
journal= {arXiv preprint arXiv:1911.05141},
year = {2019}
}
Comments
23 pages