Coincidence classes in nonorientable manifolds

Mathematics – Algebraic Topology

Scientific paper

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9 pages, 1 figure

Scientific paper

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.

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