Dye's theorem in the almost continuous category

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dc.creatordel Junco, Andres
dc.creatorSahin, Ayse A.
dc.date2007-05-15
dc.date.accessioned2026-07-07T08:01:42Z
dc.date.available2026-07-07T08:01:42Z
dc.descriptionWe prove an almost continuous version of Dye's theorem: any two non-atomic probability measure preserving homeomorphisms of Polish spaces are almost continuously orbit equivalent. More precisely they are orbit equivalent by a map which is defined and continuous on a Polish subset of full measure with an inverse satisfying the same conditions. This result includes all of the recent results on almost continuous orbit equivalence. We also deal with the case of infinite invariant measures.
dc.identifierhttps://arxiv.org/abs/0705.2220
dc.identifierhttp://arxiv.org/abs/0705.2220
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/128996
dc.subjectDynamical Systems
dc.subject37A20,37A05
dc.titleDye's theorem in the almost continuous category
dc.typetext

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