Estimating Nielsen Numbers on Wedge Product Spaces

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, Kle...

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Bibliographic Details
Main Authors: Seung Won Kim, Nirattaya Khamsemanan
Format: Article
Language:English
Published: SpringerOpen 2008-01-01
Series:Fixed Point Theory and Applications
Online Access:http://dx.doi.org/10.1155/2007/83420
Description
Summary: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.
ISSN:1687-1820
1687-1812