Stratified Subcartesian Spaces
| Autor: | Jędrzej Śniatycki, Tsasa Lusala |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2008 |
| Předmět: |
Mathematics - Differential Geometry
58A40 General Mathematics Whitney conditions 010102 general mathematics Mathematical analysis Lie group 57N80 Type (model theory) Space (mathematics) 01 natural sciences Manifold Stratification (mathematics) 0103 physical sciences ComputingMethodologies_DOCUMENTANDTEXTPROCESSING Orbit (dynamics) Vector field 010307 mathematical physics Astrophysics::Earth and Planetary Astrophysics 0101 mathematics GeneralLiterature_REFERENCE(e.g. dictionaries encyclopedias glossaries) Mathematics |
| Popis: | We show that, if the family \cal{O} of orbits of all vector fields on a subcartesian space P is locally finite and each orbit in \cal{O} is locally closed, then \cal{O} defines a smooth Whitney A stratification of P. We also show that the stratification by orbit type of the space M/G of orbits of a proper action of a Lie group G on a smooth manifold M is given by orbits of the family of all vector fields on M/G. Comment: 15 pages |
| Databáze: | OpenAIRE |
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