ArticleOriginal scientific text
Title
Uniform pseudo-orbit tracing property for homeomorphisms and continuous mappings
Authors 1
Affiliations
- Institute of Mathematics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland
Abstract
We prove that for every nonempty compact manifold of nonzero dimension no self-homeomorphism and no continuous self-mapping has the uniform pseudo-orbit tracing property. Several relevant counterexamples for recently studied hypotheses are indicated.
Keywords
pseudo-orbit tracing property, discrete dynamical system on manifold, orbit stability
Bibliography
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