Note on normal sequences of chain complexes
Klaus Heiner Kamps (1978)
Colloquium Mathematicae
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Klaus Heiner Kamps (1978)
Colloquium Mathematicae
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Janković, Vladimir (1984)
Publications de l'Institut Mathématique. Nouvelle Série
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Marek Filakovský (2012)
Archivum Mathematicum
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In the paper weak sufficient conditions for the reduction of the chain complex of a twisted cartesian product to a chain complex of free finitely generated abelian groups are found.
J. Mioduszewski (1971)
Colloquium Mathematicae
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Marko D. Lekop (1973)
Publications de l'Institut Mathématique
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Katsuya Yokoi (2015)
Annales Polonici Mathematici
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This paper is concerned with strong chain recurrence introduced by Easton. We investigate the depth of the transfinite sequence of nested, closed invariant sets obtained by iterating the process of taking strong chain recurrent points, which is a related form of the central sequence due to Birkhoff. We also note the existence of a Lyapunov function which is decreasing off the strong chain recurrent set. As an application, we give a necessary and sufficient condition for the coincidence...
Schweig, Jay (2011)
The Electronic Journal of Combinatorics [electronic only]
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Jonathan Meddaugh, Brian E. Raines (2013)
Fundamenta Mathematicae
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The main result of this paper is that a map f: X → X which has shadowing and for which the space of ω-limits sets is closed in the Hausdorff topology has the property that a set A ⊆ X is an ω-limit set if and only if it is closed and internally chain transitive. Moreover, a map which has the property that every closed internally chain transitive set is an ω-limit set must also have the property that the space of ω-limit sets is closed. As consequences of this result, we show that interval...
Bukh, Boris (2009)
The Electronic Journal of Combinatorics [electronic only]
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Karol Borsuk (1955)
Fundamenta Mathematicae
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