Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
권호 표지

THE NIELSEN NUMBER ON ASPHERICAL WEDGE

  • Received : 2008.10.14
  • Accepted : 2008.11.20
  • Published : 2008.12.30
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Abstract

Let X be a finite polyhedron that is of the homotopy type of the wedge of the torus and the surface with boundary. Let $f:X{\rightarrow}X$ be a self-map of X. In this paper, we prove that if the induced endomorphism of ${\pi}_1(X)$ is K-reduced, then there is an algorithm for computing the Nielsen number N(f).

Keywords

Acknowledgement

Supported by : Kyungsung University