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

Xuezhi Zhao

 Department of Mathematics, Capital Normal University, Beijing 100037, China
Received 5 September 2004; Revised 15 March 2005; Accepted 21 July 2005

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.