Fixed Point Theory and Applications
Volume 2006 (2006), Article ID 25897, 19 pages
doi:10.1155/FPTA/2006/25897
Reducing the number of fixed points of some homeomorphisms on nonprime 3-manifolds
Department of Mathematics, Capital Normal University, Beijing 100037, China
Received 5 September 2004; Revised 15 March 2005; Accepted 21 July 2005
Copyright © 2006 Xuezhi Zhao. 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
We will consider the number of fixed points of homeomorphisms
composed of finitely many slide homeomorphisms on closed oriented
nonprime 3-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.