Klein Stratification of Orbit Spaces: Examples
International Electronic Journal of Geometry, vol.16, no.2, pp.665-671, 2023 (ESCI, Scopus, TRDizin)
- Publication Type: Article / Article
- Volume: 16 Issue: 2
- Publication Date: 2023
- Doi Number: 10.36890/iejg.1364214
- Journal Name: International Electronic Journal of Geometry
- Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, TR DİZİN (ULAKBİM)
- Page Numbers: pp.665-671
- Keywords: diffeology, Orbit Spaces, stratifications
- Open Archive Collection: AVESIS Open Access Collection
- Galatasaray University Affiliated: Yes
Abstract
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.