Sheaf theoretic characterization of etale groupoids

Koji Yamazaki

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arXiv · 1907.10365

Sheaf theoretic characterization of etale groupoids

Koji Yamazaki

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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.

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Koji Yamazaki. 2019-07-24. Sheaf theoretic characterization of etale groupoids. https://arxiv.org/abs/1907.10365

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