• 제목/요약/키워드: POTP and expansiveness

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THE PSEUDO ORBIT TRACING PROPERTY AND EXPANSIVENESS ON UNIFORM SPACES

  • Lee, Kyung Bok
    • 충청수학회지
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    • 제35권3호
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    • pp.255-267
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    • 2022
  • Uniform space is a generalization of metric space. The main purpose of this paper is to extend several results contained in [5, 6] which have for an expansive homeomorphism with the pseudo orbit tracing property(POTP in short) on a compact metric space (X, d) for an expansive homeomorphism with the POTP on a compact uniform space (X, 𝒰). we characterize stable and unstable sets, sink and source and saddle, recurrent points for an expansive homeomorphism which has the POTP on a compact uniform space (X, 𝒰).