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

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.

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Correspondence to Jiaoyun Wang.

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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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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

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

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