A note on minimal dynamical systems
Stefan Geschke (2004)
Acta Universitatis Carolinae. Mathematica et Physica
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Displaying similar documents to “Minimal dynamical systems for -bounded groups”
A note on minimal dynamical systems
Transformation groups with no equicontinuous minimal set
Jason Gait (1972)
Compositio Mathematica
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Furstenberg’s theorem in topological dynamics
de Vries, Jan
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The universal minimal system for the group of homeomorphisms of the Cantor set
E. Glasner, B. Weiss (2003)
Fundamenta Mathematicae
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Each topological group G admits a unique universal minimal dynamical system (M(G),G). For a locally compact noncompact group this is a nonmetrizable system with a rich structure, on which G acts effectively. However there are topological groups for which M(G) is the trivial one-point system (extremely amenable groups), as well as topological groups G for which M(G) is a metrizable space and for which one has an explicit description. We show that for the topological group G = Homeo(E)...