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@francisbrb@mathstodon.xyz

2026-02-27 05:04 UTC

@highergeometer I see. I was wondering how that would matter if you were doing a sheafy thing. I guess proper is much more important since you can apply a linearization theorem in order to assume that locally your groupoid is the action groupoid of a compact group over an open set in a representation.

Replies (1)

  • @francisbrb Exactly. Also, the stratification of the manifold of objects, and the space of orbits, is nice. And from memory you get finitely many orbit types in proper+cocompact.

    Open ##1501387