Shift Equivalence and the Conley index

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dc.creatorFranks, John
dc.creatorRicheson, David
dc.date1999-10-29
dc.date.accessioned2026-07-07T05:31:21Z
dc.date.available2026-07-07T05:31:21Z
dc.descriptionIn this paper we introduce filtration pairs for isolated invariant sets of continuous maps. We prove the existence of filtration pairs and show that, up to shift equivalence, the induced map on the corresponding pointed space is an invariant of the isolated invariant set. Moreover, the maps defining the shift equivalence can be chosen canonically. Lastly, we define partially ordered Morse decompositions and prove the existence of Morse set filtrations for such decompositions.
dc.description23 pages
dc.identifierhttps://arxiv.org/abs/math/9910171
dc.identifierhttp://arxiv.org/abs/math/9910171
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79310
dc.subjectDynamical Systems
dc.subject58F12; 58F20
dc.titleShift Equivalence and the Conley index
dc.typetext

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