Vol. 250, No. 2, 2011

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Minimal sets of a recurrent discrete flow

Hattab Hawete

Vol. 250 (2011), No. 2, 335–337
Abstract

S. G. Dani, giving a counterexample to a result in a paper of Knight, showed that recurrent transitive flows can admit multiple minimal sets. Here we show that such a phenomenon occurs on a wider scale.

Keywords
minimal set, discrete flow, uniformly rigid, weakly mixing
Mathematical Subject Classification 2010
Primary: 54H20
Milestones
Received: 19 February 2010
Revised: 14 June 2010
Accepted: 9 September 2010
Published: 31 March 2011
Authors
Hattab Hawete
Institut Supérieur d’Informatique et du Multimedia
Route de Tunis Km 10
B.P. 242
Sfax 3021
Tunisia