Construction and properties of the Conley index
Marian Mrozek (1999)
Banach Center Publications
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Marian Mrozek (1999)
Banach Center Publications
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Tomasz Kaczynski (1999)
Banach Center Publications
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Recent results on the Conley index theory for discrete multi-valued dynamical systems with their consequences for the computation of the index for representable maps are recapitulated. The terminology is simplified with respect to previous presentations, some superfluous hypotheses are abandoned and some conclusions are proved in a simpler way.
Marian Mrozek (1995)
Banach Center Publications
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Gabor, Grzegorz (2003)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Jerzy Jezierski (1993)
Fundamenta Mathematicae
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We generalize the coincidence semi-index introduced in [D-J] to pairs of maps between topological manifolds. This permits extending the Nielsen theory to this class of maps.
Ralf Bader (1996)
Banach Center Publications
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Helga Schirmer (1992)
Fundamenta Mathematicae
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Examples exist of smooth maps on the boundary of a smooth manifold M which allow continuous extensions over M without fixed points but no such smooth extensions. Such maps are studied here in more detail. They have a minimal fixed point set when all transversally fixed maps in their homotopy class are considered. Therefore we introduce a Nielsen fixed point theory for transversally fixed maps on smooth manifolds without or with boundary, and use it to calculate the minimum number of...
Lech Górniewicz, Danuta Rozpłoch-Nowakowska (1996)
Banach Center Publications
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The paper contains a survey of various results concerning the Schauder Fixed Point Theorem for metric spaces both in single-valued and multi-valued cases. A number of open problems is formulated.
Graff, Grzegorz, Nowak-Przygodzki, Piotr (2003)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Stouti, A., Maaden, A. (2007)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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