• 제목/요약/키워드: connected compact polyhedron

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Remarks on the reidemeister numbers

  • Li, Degui
    • 대한수학회보
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    • 제33권3호
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    • pp.397-409
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    • 1996
  • Let X be a connected compact polyhedron and $f : X \to X$ a selfmap of X. The Reidemeister number of f is denoted by R(f).

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NIELSEN TYPE NUMBERS FOR PERIODIC POINTS ON THE COMPLEMENT

  • LIM, IN TAIK
    • 호남수학학술지
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    • 제24권1호
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    • pp.75-86
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    • 2002
  • A Nielsen number $\bar{N}(f:X-A)$ is a homotopy invariant lower bound for the number of fixed points on X-A where X is a compact connected polyhedron and A is a connected subpolyhedron of X. This number is extended to Nielsen type numbers $\bar{NP_{n}}(f:X-A)$ of least period n and $\bar{N{\phi}_{n}}(f:X-A)$ of the nth iterate on X-A where the subpolyhedron A of a compact connected polyhedron X is no longer path connected.

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