Klein Stratification of Orbit Spaces: Examples

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GÜRER S.

International Electronic Journal of Geometry, cilt.16, sa.2, ss.665-671, 2023 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 16 Sayı: 2
  • Basım Tarihi: 2023
  • Doi Numarası: 10.36890/iejg.1364214
  • Dergi Adı: International Electronic Journal of Geometry
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.665-671
  • Anahtar Kelimeler: diffeology, Orbit Spaces, stratifications
  • Galatasaray Üniversitesi Adresli: Evet

Özet

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.