Displaying similar documents to “Geometric and homotopy theoretic methods in Nielsen coincidence theory.”

Coincidence free pairs of maps

Ulrich Koschorke (2006)

Archivum Mathematicum

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This paper centers around two basic problems of topological coincidence theory. First, try to measure (with the help of Nielsen and minimum numbers) how far a given pair of maps is from being loose, i.e. from being homotopic to a pair of coincidence free maps. Secondly, describe the set of loose pairs of homotopy classes. We give a brief (and necessarily very incomplete) survey of some old and new advances concerning the first problem. Then we attack the second problem mainly in the...