Sheaf theoretic characterization of etale groupoids
Category Theory
2021-08-03 v2 General Topology
Abstract
The study of Haeflier suggests that it is natural to regard a pseudogroup as an etale groupoid. We show that any etale groupoid corresponds to a pseudogroup sheaf, a new generalization of a pseudogroup. This correspondence is an analog of the equivalence of the two definitions of a sheaf: as an etale space and as a contravariant functor.
Cite
@article{arxiv.1907.10365,
title = {Sheaf theoretic characterization of etale groupoids},
author = {Koji Yamazaki},
journal= {arXiv preprint arXiv:1907.10365},
year = {2021}
}
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16 pages