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Cylinder cocycle extensions of minimal rotations on monothetic groups

Mieczysław K. MentzenArtur Siemaszko — 2004

Colloquium Mathematicae

The main results of this paper are: 1. No topologically transitive cocycle m -extension of minimal rotation on the unit circle by a continuous real-valued bounded variation ℤ-cocycle admits minimal subsets. 2. A minimal rotation on a compact metric monothetic group does not admit a topologically transitive real-valued cocycle if and only if the group is finite.

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