# NIELSEN TYPE NUMBERS FOR PERIODIC POINTS ON THE COMPLEMENT

• LIM, IN TAIK (Dept. of Mathematices, Chosun University Chosun University)
• Published : 2002.07.30
• 29 2

#### 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

periodic point;Nielsen type number

#### Acknowledgement

Supported by : chosun University

#### References

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