Minimal realcompact spaces
Asit Baran-Raha (1972)
Colloquium Mathematicae
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Asit Baran-Raha (1972)
Colloquium Mathematicae
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L Moser (1959)
Acta Arithmetica
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H. Fredricksen, E. J. Ionascu, F. Luca, P. Stănică (2008)
Acta Arithmetica
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Tomasz Downarowicz (2011)
Colloquium Mathematicae
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We construct an example of two commuting homeomorphisms S, T of a compact metric space X such that the union of all minimal sets for S is disjoint from the union of all minimal sets for T. In other words, there are no common minimal points. This answers negatively a question posed in [C-L]. We remark that Furstenberg proved the existence of "doubly recurrent" points (see [F]). Not only are these points recurrent under both S and T, but they recur along the same sequence of powers. Our...
Aikawa, Hiroaki (1993)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
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Zaslavski, Alexander J. (2002)
Abstract and Applied Analysis
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J. Marshall Ash, A. Eduardo Gatto, Stephen Vági (1990)
Colloquium Mathematicae
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Filippo Cammaroto, Andrei Catalioto, Jack Porter (2011)
Open Mathematics
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In this article, we extend the work on minimal Hausdorff functions initiated by Cammaroto, Fedorchuk and Porter in a 1998 paper. Also, minimal Urysohn functions are introduced and developed. The properties of heredity and productivity are examined and developed for both minimal Hausdorff and minimal Urysohn functions.
Dusa McDuff (1981)
Annales de l'institut Fourier
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Necessary conditions are found for a Cantor subset of the circle to be minimal for some -diffeomorphism. These conditions are not satisfied by the usual ternary Cantor set.
Jürg Schmid, Jürgen Schmidt (1987)
Colloquium Mathematicae
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Pierre Michel (1975)
Publications mathématiques et informatique de Rennes
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Nakaoka, Fumie, Oda, Nobuyuki (2006)
International Journal of Mathematics and Mathematical Sciences
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Joseph Auslander, Brindell Horelick (1970)
Compositio Mathematica
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