Skip to main content
Fixed Point Theory and Algorithms for Sciences and Engineering
Download PDF
  • Research Article
  • Open access
  • Published:

Nielsen Type Numbers of Self-Maps on the Real Projective Plane

Fixed Point Theory and Applications volume 2010, Article number: 327493 (2010) Cite this article

Abstract

Employing the induced endomorphism of the fundamental group and using the homotopy classification of self-maps of real projective plane , we compute completely two Nielsen type numbers, (f) and (f), which estimate the number of periodic points of f and the number of fixed points of the iterates of map f.

Publisher note

To access the full article, please see PDF

Author information

Authors and Affiliations

  1. School of Mathematical Sciences and Institute of Mathematics and Interdisciplinary Science, Capital Normal University, Beijing, 100048, China

    Jiaoyun Wang

Authors
  1. Jiaoyun Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Jiaoyun Wang.

Rights and permissions

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.

Reprints and permissions

About this article

Cite this article

Wang, J. Nielsen Type Numbers of Self-Maps on the Real Projective Plane. Fixed Point Theory Appl 2010, 327493 (2010). https://doi.org/10.1155/2010/327493

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1155/2010/327493

Keywords