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Properties of attractors of generic homeomorphisms

Published:1996-12 Issue:6 Volume:16 Page:1297-1310
ISSN:0143-3857
Container-title:Ergodic Theory and Dynamical Systems
language:en
Short-container-title:Ergod. Th. Dynam. Sys.

Author:

Hurley Mike

Abstract

AbstractWe describe several generic properties of homeomorphisms on compact manifolds. These properties concern the attractors of a homeomorphism, its chain recurrent set, and the periodic points.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,General Mathematics

Reference14 articles.

1. Structurally stable diffeomorphisms are dense

2. Obstructions to the Smoothing of Piecewise-Differentiable Homeomorphisms

3. Isolated Invariant Sets and the Morse Index

4. On proofs of the $C^0$ general density theorem

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