Furstenberg’s theorem in topological dynamics
de Vries, Jan
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de Vries, Jan
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Jason Gait (1972)
Compositio Mathematica
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Walter H. Gottschalk (1964)
Annales de l'institut Fourier
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Joseph Auslander, Brindell Horelick (1970)
Compositio Mathematica
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Joseph Auslander (2000)
Colloquium Mathematicae
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A quasi-factor of a minimal flow is a minimal subset of the induced flow on the space of closed subsets. We study a particular kind of quasi-factor (a 'joining' quasi-factor) using the Galois theory of minimal flows. We also investigate the relation between factors and quasi-factors.
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.