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The relative coincidence Nielsen number. (English) Zbl 0846.55003

Summary: We define a relative coincidence Nielsen number \(N_{\text{rel}} (f, g)\) for pairs of maps between manifolds, prove a Wecken type theorem for this invariant and give some formulae expressing \(N_{\text{rel}} (f,g)\) by the ordinary Nielsen numbers.

MSC:

55M20 Fixed points and coincidences in algebraic topology
57N99 Topological manifolds
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