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Title

A note on ω-limit set of a tree map

Authors

Year of publication

2011

Published in

Fasciculi Mathematici

Journal year: 2011 | Journal number: nr 46

Article type

scientific article

Publication language

english

Keywords
EN
  • tree map
  • periodic point
  • ω-limit set
  • minimal set
Abstract

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 ω-limit set of x under f respectively. Write Λ(f) = UxϵTω(x,f). In this paper, we show that if x∈Λ(f) , then ω(x, f) is an infinite minimal set.

Pages (from - to)

141 - 145

License type

CC BY-NC-ND (attribution - noncommercial - no derivatives)

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