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Article Dans Une Revue Colloquium Mathematicum Année : 2009

Some remarks about strong proximality of compact flows

Résumé

This note aims at providing some information about the concept of a strongly proximal set in a compact transformation semigroup. In the affine case, a unified approach of some know results are given. It is also pointed out that a compact flow $(X, S)$ is strong proximality if (and only) it is proximal and every point of $X$ has a strongly proximal neighborhood in $X$. The essential ingredient, in the affine as well as in the non-affine case, turns to be the existence of a unique minimal subset.
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Dates et versions

hal-00372929 , version 1 (02-04-2009)

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  • HAL Id : hal-00372929 , version 1

Citer

Ahmed Bouziad, Jean-Pierre Troallic. Some remarks about strong proximality of compact flows. Colloquium Mathematicum, 2009, 115 (2), pp.159-170. ⟨hal-00372929⟩
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