Connected components of attractors and other stable sets
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Connected components of attractors and other stable sets

  • Author(s): Hirsch, Morris W
  • Hurley, Mike
  • et al.
Abstract

Letbe a continuous map on a locally connected metric space. Ifis an attractor in the sense of C. Conley then permutes its components, and if A is indecomposable the permutation is cyclic. If Y is an indecomposable stable invariant set with infinitely many components, the action of on them is a generalized adding machine, and it has no periocic orbits in Y.

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