A fixed point index for bimaps
Helga Schirmer (1990)
Fundamenta Mathematicae
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Helga Schirmer (1990)
Fundamenta Mathematicae
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Helga Schirmer (1984)
Fundamenta Mathematicae
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Helga Schirmer (1985)
Fundamenta Mathematicae
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Andres, Jan, Väth, Martin (2004)
Fixed Point Theory and Applications [electronic only]
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G. Skordev (1984)
Fundamenta Mathematicae
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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.
Gilles Fournier, Lech Górniewicz (1976)
Fundamenta Mathematicae
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Robert F. Brown (2006)
Bulletin of the Polish Academy of Sciences. Mathematics
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A multifunction ϕ: X ⊸ Y is n-valued if ϕ(x) is an unordered subset of n points of Y for each x ∈ X. The (continuous) n-valued multimaps ϕ: S¹ ⊸ S¹ are classified up to homotopy by an integer-valued degree. In the Nielsen fixed point theory of such multimaps, due to Schirmer, the Nielsen number N(ϕ) of an n-valued ϕ: S¹ ⊸ S¹ of degree d equals |n - d| and ϕ is homotopic to an n-valued power map that has exactly |n - d| fixed points. Thus the Wecken property, that Schirmer established...
J. Bryszewski, Lech Górniewicz (1976)
Fundamenta Mathematicae
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Zdzisław Dzedzej
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CONTENTS0. Introduction.....................................................................5I. Homology.........................................................................6II. Multivalued maps...........................................................11III. Chain approximations and index...................................15IV. Chain approximations of decompositions of maps........18V. Index of decompositions for compact polyhedra............26VI. Index of decompositions for compact...
Jerzy Jezierski (1990)
Fundamenta Mathematicae
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Nikodem, Kazimierz, Popa, Dorian (2008)
Banach Journal of Mathematical Analysis [electronic only]
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