On saturating ultrafilters on N
A. Kucia (1977)
Colloquium Mathematicae
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A. Kucia (1977)
Colloquium Mathematicae
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Asit Baran-Raha (1972)
Colloquium Mathematicae
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U. Christian (1972)
Fundamenta Mathematicae
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Jürg Schmid, Jürgen Schmidt (1987)
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John Dawson, Paul Howard (1976)
Fundamenta 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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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.
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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A. Kucia, A. Szymański (1977)
Colloquium Mathematicae
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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...
Predrag Tanović (2007)
Publications de l'Institut Mathématique
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Pierre Michel (1975)
Publications mathématiques et informatique de Rennes
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Sergio Fratarcangeli (2008)
Fundamenta Mathematicae
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The purpose of this paper is to extend a theorem of Speissegger [J. Reine Angew. Math. 508 (1999)], which states that the Pfaffian closure of an o-minimal expansion of the real field is o-minimal. Specifically, we display a collection of properties possessed by the real numbers that suffices for a version of the proof of this theorem to go through. The degree of flexibility revealed in this study permits the use of certain model-theoretic arguments for the first time, e.g. the compactness...