Stability and invariants of Hilsum-Skandalis maps

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dc.creatorMrcun, Janez
dc.date2005-06-23
dc.date.accessioned2026-07-07T05:21:06Z
dc.date.available2026-07-07T05:21:06Z
dc.descriptionWe consider principal bundles as generalized morphisms between topological groupoids. In the category of these generalized morphisms two topological groupoids are isomorphic if and only if they are Morita equivalent. We show that the fibers of a generalized morphism from H to G induce a singular foliation of the topological groupoid H, and we prove a Reeb-Thurston stability theorem for such foliations. Next, we use generalized morphisms to study some Morita invariants of topological groupoids, in particular the homotopy groups of a topological groupoid and the Connes convolution algebra of an etale groupoid.
dc.descriptionPh.D. thesis, Utrecht University, 1996
dc.identifierhttps://arxiv.org/abs/math/0506484
dc.identifierhttp://arxiv.org/abs/math/0506484
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75570
dc.subjectDifferential Geometry
dc.subject58H05; 22A22; 57R30; 57S25
dc.titleStability and invariants of Hilsum-Skandalis maps
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