Fixed Point Theory and Applications
Volume 2007 (2007), Article ID 83420, 16 pages
doi:10.1155/2007/83420
Research Article

Estimating Nielsen Numbers on Wedge Product Spaces

Nirattaya Khamsemanan1 and Seung Won Kim2

1Department of Mathematics, University of Connecticut, Storrs 06269, CT, USA
2School of Mathematics, Korea Institute for Advanced Study, Seoul 130722, South Korea

Received 8 May 2007; Accepted 14 November 2007

Academic Editor: Evelyn Hart

Copyright © 2007 Nirattaya Khamsemanan and Seung Won Kim. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Let f:X→X be a self-map of a finite polyhedron that is an aspherical wedge product space X. In this paper, we estimate the Nielsen number N(f) of f. In particular, we study some algebraic properties of the free products and then estimate Nielsen numbers on torus wedge surface with boundary, Klein bottle wedge surface with boundary, and torus wedge torus.