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Estimating Nielsen Numbers on Wedge Product Spaces

Fixed Point Theory and Applications volume 2007, Article number: 083420 (2007) Cite this article

Abstract

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.

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Authors and Affiliations

  1. Department of Mathematics, University of Connecticut, Storrs, CT, 06269, USA

    Nirattaya Khamsemanan

  2. School of Mathematics, Korea Institute for Advanced Study, Seoul, 130722, South Korea

    Seung Won Kim

Authors
  1. Nirattaya Khamsemanan
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  2. Seung Won Kim
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Correspondence to Nirattaya Khamsemanan.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Khamsemanan, N., Kim, S. Estimating Nielsen Numbers on Wedge Product Spaces. Fixed Point Theory Appl 2007, 083420 (2007). https://doi.org/10.1155/2007/83420

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