Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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LIMIT SETS OF POINTS WHOSE STABLE SETS HAVE NONEMPTY INTERIOR

  • Koo, Ki-Shik (Department of Computer and Information Security Daejeon University)
  • Received : 2007.08.16
  • Published : 2007.09.30
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Abstract

In this paper, we show that if a homeomorphism has the pseudo-orbit-tracing-property and its nonwandering set is locally connected, then the limit sets of wandering points whose stable sets have nonempty interior consist of single periodic orbit.

Keywords