International Electronic Journal of Geometry, cilt.16, sa.2, ss.665-671, 2023 (ESCI)
We consider the Klein stratification of orbit spaces M/G, defined by the action of local diffeomorphisms. We show that the Klein strata on M/G, where the singular orbits are isolated points and the stabilizer group acts transitively on the unit sphere, are precisely the union of the points where M/G has the same dimension.