3-manifolds that admit knotted solenoids as attractors

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dc.creatorJiang, Boju
dc.creatorNi, Yi
dc.creatorWang, Shicheng
dc.date2004-03-25
dc.date.accessioned2026-07-07T05:06:44Z
dc.date.available2026-07-07T05:06:44Z
dc.descriptionMotivated by the study in Morse theory and Smale's work in dynamics, the following questions are studied and answered: (1) When does a 3-manifold admit an automorphism having a knotted Smale solenoid as an attractor? (2) When does a 3-manifold admit an automorphism whose non-wandering set consists of Smale solenoids? The result presents some intrinsic symmetries for a class of 3-manifolds.
dc.description16 pages, 8 figures
dc.identifierhttps://arxiv.org/abs/math/0403427
dc.identifierhttp://arxiv.org/abs/math/0403427
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70585
dc.subjectGeometric Topology
dc.subjectDynamical Systems
dc.subject57N10, 58K05, 37E99, 37D45
dc.title3-manifolds that admit knotted solenoids as attractors
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