A classification of the topological types of -actions on closed orientable 3-manifolds
Gilles Chatelet, Harold Rosenberg, Daniel Weil (1974)
Publications Mathématiques de l'IHÉS
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Gilles Chatelet, Harold Rosenberg, Daniel Weil (1974)
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C. Maquera, L. F. Martins (2008)
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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.
Y. Suzuki (1970)
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Izidor Hafner, Tomislav Žitko (2007)
Visual Mathematics
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R. Bartoszyński (1972)
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Paul D. Bacsich (1972)
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A. Zięba (1969)
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R. Bartoszyński (1972)
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Germaná, Clara, Guerrini, Luca (2005)
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J. Grabowski (1976)
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H. J. Rossberg, G. Siegel (1974)
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W. Klonecki (1976)
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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.