Coincidence classes in nonorientable manifolds

2004/01/30 by Daniel Vendrúscolo, Vendrúscolo, Daniel
Mathematics · #55M20 #Advanced Topics in Algebra #Algebraic Topology (math.AT) #FOS: Mathematics #Functional Equations Stability Results #Geometric and Algebraic Topology #math.AT #msc:55M20

paper · pdf · doi:10.48550/arxiv.math/0401431

9 pages, 1 figure

arxiv created 2004/01/30 · openalex publication_date 2004/01/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this article we studied Nielsen coincidence theory for maps between manifolds of same dimension without hypotheses on orientation. We use the definition of semi-index of a class, we review the definition of defective classes and study the appearance of defective root classes. We proof a semi-index product formula type for lifting maps and we presented conditions such that defective coincidence classes are the only essencial classes.

Related

• Nielsen numbers in topological coincidence theory
• Axioms for the coincidence index of maps between manifolds of the same dimension
• Geometric and homotopy theoretic methods in Nielsen coincidence theory
• Nielsen coincidence theory in arbitrary codimensions
• Removing coincidences of maps between manifolds of different dimensions