A note on ω-limit set of a tree map

• Autorzy: Sun T , Xi H , Peng X.
• Języki publikacji: EN

Abstrakty

EN

Let T be a tree and f : T →T be continuous. Denote by P(f) and ω(x, f) the set of periodic points of f and w-limit set of x under f respectively. Write ᴧ(f) = U_xϵTω(x,f). In this paper, we show that if ...[wzór], then ω(x, f) is an infinite minimal set.

Słowa kluczowe

EN

tree map; periodic point; ω-limit set; minimal set

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2011
• Tom: Nr 46
• Strony: 141--145
• Opis fizyczny: Bibliogr. 4 poz.

Twórcy

autor

Sun T

• College of Mathematics and Information Science Guangxi University Nanning, Guangxi 530004, P.R. China

autor

Xi H

• Department of Mathematics Guangxi College of Finance and Economics Nanning, Guangxi 530003, P.R. China

autor

Peng X.

• College of Mathematics and Information Science Guangxi University Nanning, Guangxi 530004, P.R. China

Bibliografia

• [1] Block L.S., Coppel W.A., Dynamics in One Dimension, Lecture Notes in Math., vol. 1513, Springer-Verlag, Berlin 1992.
• [2] Blokh A.M., Trees with snowflakes and zero entropy maps, Topology, 33(2)(1994), 379-396.
• [3] Gu R.B., Topological structure of non-wandering sets of continuous tree maps, Chinese Annals of Mathematics, 19A(5)(1998), 577-582.(in Chinese).
• [4] Ye X.D., The center and the depth of center of a tree map, Bull. Austral. Math. Soc., 48(1993), 347-350.