Some remarks about strong proximality of compact flows

A. Bouziad, and J.-P. Troallic. "Some remarks about strong proximality of compact flows." Colloquium Mathematicae 115.2 (2009): 159-170. <http://eudml.org/doc/283955>.

@article{A2009,
abstract = {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.},
author = {A. Bouziad, J.-P. Troallic},
journal = {Colloquium Mathematicae},
keywords = {proximal flow; strongly proximal flow; strongly proximal subset; unique minimal subset; affine flow},
language = {eng},
number = {2},
pages = {159-170},
title = {Some remarks about strong proximality of compact flows},
url = {http://eudml.org/doc/283955},
volume = {115},
year = {2009},
}

TY - JOUR
AU - A. Bouziad
AU - J.-P. Troallic
TI - Some remarks about strong proximality of compact flows
JO - Colloquium Mathematicae
PY - 2009
VL - 115
IS - 2
SP - 159
EP - 170
AB - 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.
LA - eng
KW - proximal flow; strongly proximal flow; strongly proximal subset; unique minimal subset; affine flow
UR - http://eudml.org/doc/283955
ER -