Generic homeomorphisms have the pseudo-orbit tracing property
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- by Kenzi Odani
- Proc. Amer. Math. Soc. 110 (1990), 281-284
- DOI: https://doi.org/10.1090/S0002-9939-1990-1009998-8
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Abstract:
Let $M(\operatorname {dim} M \leq 3)$ be a compact manifold. Then a generic $f \in \operatorname {Homeo}(M)$ satisfies the following: $f$ has the pseudo-orbit tracing property; $f$ is ${C^0}$ tolerance stable; and $f$ is not topologically stable.References
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Bibliographic Information
- © Copyright 1990 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 110 (1990), 281-284
- MSC: Primary 58F10; Secondary 57S05
- DOI: https://doi.org/10.1090/S0002-9939-1990-1009998-8
- MathSciNet review: 1009998