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Jerzy Jezierski (1999)
Banach Center Publications
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We give an outline of the Nielsen coincidence theory emphasizing differences between the oriented and non-oriented cases.
Saveliev, Peter (2005)
Fixed Point Theory and Applications [electronic only]
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Marcio Fenille (2014)
Open Mathematics
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We construct an epsilon coincidence theory which generalizes, in some aspect, the epsilon fixed point theory proposed by Robert Brown in 2006. Given two maps f, g: X → Y from a well-behaved topological space into a metric space, we define µ ∈(f, g) to be the minimum number of coincidence points of any maps f 1 and g 1 such that f 1 is ∈ 1-homotopic to f, g 1 is ∈ 2-homotopic to g and ∈ 1 + ∈ 2 < ∈. We prove that if Y is a closed Riemannian manifold, then it is possible to attain µ...
Koschorke, Ulrich (2006)
Fixed Point Theory and Applications [electronic only]
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R. Dobreńko, Z. Kucharski (1990)
Fundamenta Mathematicae
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Andres, Jan, Väth, Martin (2004)
Fixed Point Theory and Applications [electronic only]
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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...
Brown, Robert F. (2006)
Fixed Point Theory and Applications [electronic only]
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Jerzy Jezierski (1990)
Fundamenta Mathematicae
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