Open Access

Reducing the number of fixed points of some homeomorphisms on nonprime -manifolds

Fixed Point Theory and Applications20062006:25897

https://doi.org/10.1155/FPTA/2006/25897

Received: 5 September 2004

Accepted: 21 July 2005

Published: 1 March 2006

Abstract

We will consider the number of fixed points of homeomorphisms composed of finitely many slide homeomorphisms on closed oriented nonprime -manifolds. By isotoping such homeomorphisms, we try to reduce their fixed point numbers. The numbers obtained are determined by the intersection information of sliding spheres and sliding paths of the slide homeomorphisms involved.

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Authors’ Affiliations

(1)
Department of Mathematics, Capital Normal University

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Copyright

© Xuezhi Zhao. 2006

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.