Absolutely extremal points in minimal flows
S. Glasner (1985)
Compositio Mathematica
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S. Glasner (1985)
Compositio Mathematica
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Penazzi, D. (2001)
Rendiconti del Seminario Matematico
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A. Bouziad, J.-P. Troallic (2009)
Colloquium Mathematicae
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This note aims at providing some information about the concept of a strongly proximal compact transformation semigroup. In the affine case, a unified approach to some known results is given. It is also pointed out that a compact flow (X,𝓢) is strongly proximal if (and only if) it is proximal and every point of X has an 𝓢-strongly proximal neighborhood in X. An essential ingredient, in the affine as well as in the nonaffine case, turns out to be the existence of a unique minimal subset. ...
Isaac Namioka (1983)
Mathematische Zeitschrift
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Williams, R.K. (1978)
Portugaliae mathematica
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H. Furuhata (2002)
Banach Center Publications
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We give a necessary and sufficient condition for a Codazzi structure to be realized as a minimal affine hypersurface or a minimal centroaffine immersion of codimension two.
Downing, J.R., White, A.G. (1974)
Portugaliae mathematica
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Krzysztof Bolibok (2014)
Studia Mathematica
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We show that every subspace of finite codimension of the space C[0,1] is extremal with respect to the minimal displacement problem.
A. Moór, Dj.F. Nadj (1980)
Publications de l'Institut Mathématique [Elektronische Ressource]
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Finnur Lárusson, Ragnar Sigurdsson (2005)
Annales Polonici Mathematici
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We establish disc formulas for the Siciak-Zahariuta extremal function of an arbitrary open subset of complex affine space. This function is also known as the pluricomplex Green function with logarithmic growth or a logarithmic pole at infinity. We extend Lempert's formula for this function from the convex case to the connected case.
Tsemo, Aristide (2008)
International Journal of Mathematics and Mathematical Sciences
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L. Nguyen Van Thé (2013)
Fundamenta Mathematicae
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In 2005, the paper [KPT05] by Kechris, Pestov and Todorcevic provided a powerful tool to compute an invariant of topological groups known as the universal minimal flow. This immediately led to an explicit representation of this invariant in many concrete cases. However, in some particular situations, the framework of [KPT05] does not allow one to perform the computation directly, but only after a slight modification of the original argument. The purpose of the present paper is to supplement...