Nonwandering sets of maps on the circle

Let f be a continuous map of the circle S1 into itself. And let R(f),Λ(f),Γ(f), and Ω(f) denote the set of recurrent points, ω-limit points, γ-limit points, and nonwandering points of f, respectively. In this paper, we show that each point of Ω(f)\R(f)¯ is one-side isolated, and prove that

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Bibliographic Details
Main Authors: Seung Wha Yeom, Kyung Jin Min, Seong Hoon Cho
Format: Article
Language:English
Published: Wiley 1999-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171299220492
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