Uniform pseudo-orbit tracing property for homeomorphisms and continuous mappings
Annales Polonici Mathematici, Tome 75 (2000) no. 1, pp. 1-6.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/ap-75-1-1-6
Keywords: pseudo-orbit tracing property, discrete dynamical system on manifold, orbit stability

Marcin Kulczycki 1

1
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Marcin Kulczycki. Uniform pseudo-orbit tracing property for homeomorphisms and continuous mappings. Annales Polonici Mathematici, Tome 75 (2000) no. 1, pp. 1-6. doi : 10.4064/ap-75-1-1-6. http://geodesic.mathdoc.fr/articles/10.4064/ap-75-1-1-6/

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