Fixed Point Theory and Applications 
Volume 2006 (2006), Article ID 68513, 9 pages
doi:10.1155/FPTA/2006/68513

Coincidence classes in nonorientable manifolds

Daniel Vendrúscolo

 Departamento de Matemútica, Universidade Federal de Sáo Carlos, Rodovia Washington Luiz, Km 235, CP 676, Sáo Carlos 13565-905, SP, Brazil
Received 15 September 2004; Revised 20 April 2005; Accepted 21 July 2005

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.