Sheaf theoretic characterization of etale groupoids

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 etal...

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Bibliographic Details
Published in:arXiv.org 2021-08
Main Author: Yamazaki, Koji
Format: Article
Language:English
Subjects:
Topology
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Summary: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.
ISSN:2331-8422