Open Access

Estimating Nielsen Numbers on Wedge Product Spaces

Fixed Point Theory and Applications20082007:083420

DOI: 10.1155/2007/83420

Received: 8 May 2007

Accepted: 14 November 2007

Published: 24 January 2008


Let be a self-map of a finite polyhedron that is an aspherical wedge product space . In this paper, we estimate the Nielsen number of . 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.


Authors’ Affiliations

Department of Mathematics, University of Connecticut
School of Mathematics, Korea Institute for Advanced Study


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© N. Khamsemanan and S.W. Kim. 2007

This article is published under license to BioMed Central Ltd. 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.