Some remarks about strong proximality of compact flows

• Autorzy: A. Bouziad , J.-P. Troallic
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 54H20: Topological dynamics
• 60B05: Probability measures on topological spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2009
• Tom: 115
• Numer: 2
• Strony: 159-170

Daty

wydano

2009

Twórcy

autor

A. Bouziad

• UMR CNRS 6085, Département de Mathématiques, Université de Rouen, Avenue de l'Université B.P. 12, F-76801 Saint Etienne, du Rouvray, France

autor

J.-P. Troallic

• UMR CNRS 6085, UFR des Sciences et Techniques, Université du Havre, 25 rue Philippe Lebon, B.P. 540, F-76058 Le Havre Cedex, France

Identyfikatory

DOI

10.4064/cm115-2-2