Fixed Point Theory and Applications
Volume 2010 (2010), Article ID 327493, 9 pages
doi:10.1155/2010/327493
Research Article

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

Jiaoyun Wang

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

Received 27 May 2010; Revised 26 July 2010; Accepted 23 September 2010

Academic Editor: Robert F. Brown

Copyright © 2010 Jiaoyun Wang. 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.

Abstract

Employing the induced endomorphism of the fundamental group and using the homotopy classification of self-maps of real projective plane RP2, we compute completely two Nielsen type numbers, NPn(f) and NFn(f), which estimate the number of periodic points of f and the number of fixed points of the iterates of map f.