Orbifolds as Stratified Diffeologies
April 6, 2022
We introduce in this paper a general framework for the stratifications in diffeology. We discuss in particular the Klein stratification that exists in every diffeology, whose strata are the orbits of the group of diffeomorphisms or variants. As an application we explicit the Klein stratification of orbifolds and show that it is standard in the sens that the strata —the orbits of local diffeomorphisms— are locally closed manifolds.

Joint work with Serap Gürer.

Submitted for publication.