Uniform pseudo-orbit tracing property for homeomorphisms and continuous mappings
Annales Polonici Mathematici, Tome 75 (2000) no. 1, pp. 1-6
Cet article a éte moissonné depuis 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.
Keywords:
pseudo-orbit tracing property, discrete dynamical system on manifold, orbit stability
Affiliations des auteurs :
Marcin Kulczycki 1
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author = {Marcin Kulczycki},
title = {Uniform pseudo-orbit tracing property for homeomorphisms and continuous mappings},
journal = {Annales Polonici Mathematici},
pages = {1--6},
year = {2000},
volume = {75},
number = {1},
doi = {10.4064/ap-75-1-1-6},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ap-75-1-1-6/}
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TY - JOUR AU - Marcin Kulczycki TI - Uniform pseudo-orbit tracing property for homeomorphisms and continuous mappings JO - Annales Polonici Mathematici PY - 2000 SP - 1 EP - 6 VL - 75 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4064/ap-75-1-1-6/ DO - 10.4064/ap-75-1-1-6 LA - en ID - 10_4064_ap_75_1_1_6 ER -
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
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