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.
@article{bwmeta1.element.bwnjournal-article-apmv75z1p1bwm,
author = {Kulczycki, Marcin},
title = {Uniform pseudo-orbit tracing property for homeomorphisms and continuous mappings},
journal = {Annales Polonici Mathematici},
volume = {75},
year = {2000},
pages = {1-6},
zbl = {0962.37009},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-apmv75z1p1bwm}
}
Kulczycki, Marcin. Uniform pseudo-orbit tracing property for homeomorphisms and continuous mappings. Annales Polonici Mathematici, Tome 75 (2000) pp. 1-6. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv75z1p1bwm/
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