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  • Research Article
  • Open Access

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

Fixed Point Theory and Applications20102010:327493

Received: 27 May 2010

Accepted: 23 September 2010

Published: 27 September 2010


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.


  • Differential Geometry
  • Projective Plane
  • Fundamental Group
  • Periodic Point
  • Computational Biology

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Authors’ Affiliations

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


© Jiaoyun Wang. 2010

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.