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