Fixed Point Theory and Applications
Volume 2006 (2006), Issue 2, Pages Article 68513, 9 p.
doi:10.1155/FPTA/2006/68513

Coincidence classes in nonorientable manifolds

Abstract

We study Nielsen coincidence theory for maps between manifolds of same dimension regardless of orientation. We use the definition of semi-index of a class, review the definition of defective classes, and study the occurrence of defective root classes. We prove a semi-index product formula for lifting maps and give conditions for the defective coincidence classes to be the only essential classes.