On absolutely extremal points
S. Glasner, D. Maon (1986)
Compositio Mathematica
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S. Glasner, D. Maon (1986)
Compositio Mathematica
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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. ...
Penazzi, D. (2001)
Rendiconti del Seminario Matematico
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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...
Kolumban Hutter (1985)
Banach Center Publications
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V. M. Soundalgekar (1971)
Matematički Vesnik
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H. Kalisch (2012)
Mathematical Modelling of Natural Phenomena
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Two-dimensional inviscid channel flow of an incompressible fluid is considered. It is shown that if the flow is steady and features no horizontal stagnation, then the flow must necessarily be a parallel shear flow.
D. V. Krishna (1966)
Applicationes Mathematicae
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S. Kołodziej (1989)
Annales Polonici Mathematici
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Robert J. Elliott, Michael Kohlmann, Jack W. Macki (1990)
Annales Polonici Mathematici
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Alexander Shnirelman (1999)
Journées équations aux dérivées partielles
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In the existing stability theory of steady flows of an ideal incompressible fluid, formulated by V. Arnold, the stability is understood as a stability with respect to perturbations with small in vorticity. Nothing has been known about the stability under perturbation with small energy, without any restrictions on vorticity; it was clear that existing methods do not work for this (the most physically reasonable) class of perturbations. We prove that in fact, every nontrivial steady...
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.
Isaac Namioka (1983)
Mathematische Zeitschrift
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