Minimal closed sets and maximal closed sets.

Nakaoka, Fumie; Oda, Nobuyuki

Displaying similar documents to “Minimal closed sets and maximal closed sets.”

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L Moser (1959)

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J. Marshall Ash, A. Eduardo Gatto, Stephen Vági (1990)

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Generic uniqueness of a minimal solution for variational problems on a torus.

Zaslavski, Alexander J. (2002)

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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...

$C^{1}$ -minimal subsets of the circle

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 $C^{1}$ -diffeomorphism. These conditions are not satisfied by the usual ternary Cantor set.

Some applications of minimal open sets.

Nakaoka, Fumie, Oda, Nobuyuki (2001)

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Erratum to "Minimal sets of non-resonant torus homeomorphisms" (Fund. Math. 211 (2011), 41-76)

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