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Coincidence classes in nonorientable manifolds

Fixed Point Theory and Applications volume 2006, Article number: 68513 (2006) Cite this article

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.

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Authors and Affiliations

  1. Departamento de Matemútica, Universidade Federal de Sáo Carlos, Rodovia Washington Luiz, Km 235, CP 676, Sáo Carlos, SP, 13565-905, Brazil

    Daniel Vendrúscolo

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  1. Daniel Vendrúscolo
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Correspondence to Daniel Vendrúscolo.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Vendrúscolo, D. Coincidence classes in nonorientable manifolds. Fixed Point Theory Appl 2006, 68513 (2006). https://doi.org/10.1155/FPTA/2006/68513

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  • DOI: https://doi.org/10.1155/FPTA/2006/68513

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