Fixed Point Theory and Applications
Volume 2006 (2006), Issue 2, Pages Article 25897, 19 p.
doi:10.1155/FPTA/2006/25897

Reducing the number of fixed points of some homeomorphisms on nonprime 3-manifolds

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.