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Coincidence classes in nonorientable manifolds

Daniel Vendrúscolo

Fixed Point Theory and Applications · 2006

doi:10.1155/fpta/2006/68513 (opens in a new tab)

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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.

Abstract licence: CC BY

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