Coverings and Actions of Structured Lie Groupoids I

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dc.creatorGürsoy, M. Habil
dc.creatorIcen, Ilhan
dc.creatorÖzcan, A. Fatih
dc.date2009-02-17
dc.date.accessioned2026-07-07T12:42:54Z
dc.date.available2026-07-07T12:42:54Z
dc.descriptionIn this work we deal with coverings and actions of Lie group- groupoids being a sort of the structured Lie groupoids. Firstly, we define an action of a Lie group-groupoid on some Lie group and the smooth coverings of Lie group-groupoids. Later, we show the equivalence of the category of smooth actions of Lie group-groupoids on Lie groups and the category of smooth cov- erings of Lie group-groupoids. Further, we prove a theorem which denotes how is obtained a covering Lie group-groupoid and a smooth covering morphism of Lie group-groupoids from a Lie group-groupoid.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/0902.2925
dc.identifierhttp://arxiv.org/abs/0902.2925
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/220241
dc.subjectGeometric Topology
dc.subjectAlgebraic Topology
dc.subject22A22, 57M10
dc.titleCoverings and Actions of Structured Lie Groupoids I
dc.typetext

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