Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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NIELSEN TYPE NUMBERS FOR PERIODIC POINTS ON THE COMPLEMENT

  • LIM, IN TAIK (Dept. of Mathematices, Chosun University Chosun University)
  • Received : 2002.05.01
  • Published : 2002.07.30
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Abstract

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.

Keywords

Acknowledgement

Supported by : chosun University

References

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