The Nielsen product formula for coincidences
Jerzy Jezierski (1990)
Fundamenta Mathematicae
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Jerzy Jezierski (1990)
Fundamenta Mathematicae
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Saveliev, Peter (2005)
Fixed Point Theory and Applications [electronic only]
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Koschorke, Ulrich (2006)
Fixed Point Theory and Applications [electronic only]
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Wong, Peter (2004)
Fixed Point Theory and Applications [electronic only]
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Soderlund, Christina L. (2006)
Fixed Point Theory and Applications [electronic only]
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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.
Brown, Robert F. (2006)
Fixed Point Theory and Applications [electronic only]
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Christopher McCord (1999)
Banach Center Publications
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Nielsen theory, originally developed as a homotopy-theoretic approach to fixed point theory, has been translated and extended to various other problems, such as the study of periodic points, coincidence points and roots. Recently, the techniques of Nielsen theory have been applied to the study of intersections of maps. A Nielsen-type number, the Nielsen intersection number NI(f,g), was introduced, and shown to have many of the properties analogous to those of the Nielsen fixed point...
Gonçalves, Daciberg L., Kelly, Michael R. (2003)
Abstract and Applied Analysis
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Andres, Jan, Väth, Martin (2004)
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...