대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제25권1호
  • /
  • Pages.97-104
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  • 2010
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  • 1225-1763(pISSN)
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  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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SOME PROPERTIES OF THE STRONG CHAIN RECURRENT SET

  • 발행 : 2010.01.31
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초록

The article is devoted to exhibit some general properties of strong chain recurrent set and strong chain transitive components for a continuous map f on a compact metric space X. We investigate the relation between the weak shadowing property and strong chain transitivity. It is shown that a continuous map f from a compact metric space X onto itself with the average shadowing property is strong chain transitive.

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참고문헌

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