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Common value pairs and their estimations. (English) Zbl 1391.55001
In this paper the authors obtain some estimations for intersection points of two maps \(f,g:X\to Y\). Instead of considering intersection points on the target space \(Y\) they focus on common value pairs, i.e the pairs \((u,v)\) in the domain \(X^2\) of \(f\times g\) with \(f(u)=g(v)\). They apply the idea of Nielsen root theory to such a general case: preimage of a set.

MSC:
55M20 Fixed points and coincidences in algebraic topology
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Full Text: Euclid