Furstenberg’s theorem in topological dynamics
de Vries, Jan
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Displaying similar documents to “Topological multidimensional van der Waerden theorem”
Furstenberg’s theorem in topological dynamics
Minimal dynamical systems for -bounded groups
Sławomir Turek (1994)
Acta Universitatis Carolinae. Mathematica et Physica
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Two commuting maps without common minimal points
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...
Transformation groups with no equicontinuous minimal set
Jason Gait (1972)
Compositio Mathematica
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