3-manifolds that admit knotted solenoids as attractors

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Motivated 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.
16 pages, 8 figures

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Geometric Topology, Dynamical Systems, 57N10, 58K05, 37E99, 37D45

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http://salesiana.dossiersoluciones.com/handle/123456789/70585

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0403427
 http://arxiv.org/abs/math/0403427

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arXiv