On the orbits of hat-functions
Marek C. Zdun (1976)
Colloquium Mathematicae
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Marek C. Zdun (1976)
Colloquium Mathematicae
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C. Maquera, L. F. Martins (2008)
Annales de la faculté des sciences de Toulouse Mathématiques
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In this paper we describe the orbit structure of -actions of on the solid torus having and as the only compact orbits, and as singular set.
Đokovic, Dragomir Z̆., Tingley, Peter W. (2001)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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Alekseĭ Davydov, Vladimir Zakalyukin (1999)
Banach Center Publications
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Collins, Pieter (2005)
Experimental Mathematics
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Anzelm Iwanik (1997)
Commentationes Mathematicae Universitatis Carolinae
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Let be a permutation of an abstract set . In ZFC, we find a necessary and sufficient condition it terms of cardinalities of the -orbits that allows us to topologize as a topological dynamical system on a compact Hausdorff space. This extends an early result of H. de Vries concerning compact metric dynamical systems. An analogous result is obtained for -actions without periodic points.
Aleksander Całka (1984)
Colloquium Mathematicae
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