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Subsemigroups of transitive semigroups

Published online by Cambridge University Press:  24 May 2011

ÉTIENNE MATHERON
ÉTIENNE MATHERON*
Affiliation:
Faculté des Sciences Jean Perrin, Laboratoire de Mathématiques de Lens, Université d’Artois, Rue Jean Souvraz S. P. 18, 62307 LENS, France (email: [email protected])
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Abstract

Let Γ be a topological semigroup acting on a topological space X, and let Γ0 be a subsemigroup of Γ. We give general conditions ensuring that Γ and Γ0 have the same transitive points.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 32 , Issue 3 , June 2012 , pp. 1043 - 1071
Copyright
Copyright © Cambridge University Press 2011

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