Generic homeomorphisms have the pseudo-orbit tracing property

Odani, Kenzi

doi:10.1090/S0002-9939-1990-1009998-8

Generic homeomorphisms have the pseudo-orbit tracing property
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Proc. Amer. Math. Soc. 110 (1990), 281-284 Request permission

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.

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