Czasopismo
Tytuł artykułu
Autorzy
Warianty tytułu
Języki publikacji
Abstrakty
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.
Czasopismo
Rocznik
Tom
Numer
Strony
1-6
Opis fizyczny
Daty
wydano
2000
otrzymano
1999-06-25
poprawiono
2000-03-10
Twórcy
autor
- Institute of Mathematics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland
Bibliografia
- [1] R. Gu, Uniform pseudo-orbit tracing property and orbit stability, Ann. Differential Equations 13 (1997), 350-359.
- [2] K. Odani, Generic homeomorphisms have the pseudo-orbit tracing property, Proc. Amer. Math. Soc. 110 (1990), 281-284.
- [3] K. Sakai, The $C^1$-uniform pseudo-orbit tracing property, Tokyo J. Math. 15 (1992), 99-109.
- [4] K. Sakai, Pseudo-orbit tracing property and strong transversality of diffeomorphisms on closed manifolds, Osaka J. Math. 31 (1994), 373-386.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
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