3-manifolds that admit knotted solenoids as attractors

Details 3-manifolds that admit knotted solenoids as attractors 3-manifolds that admit knotted solenoids as attractors

2004-03-25

arxiv.org/abs/math/0403427v1

Mathematics

Geometric Topology

16 pages, 8 figures

Scientific paper

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.

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