Stratified Subcartesian Spaces

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dc.creatorTsasa, Lusala
dc.creatorŚniatycki, Jędrzej
dc.date2008-05-30
dc.date.accessioned2026-07-07T09:41:55Z
dc.date.available2026-07-07T09:41:55Z
dc.descriptionWe 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.
dc.description15 pages
dc.identifierhttps://arxiv.org/abs/0805.4807
dc.identifierhttp://arxiv.org/abs/0805.4807
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/161998
dc.subjectDifferential Geometry
dc.subject58A40; 57N80
dc.titleStratified Subcartesian Spaces
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