Topological Ergodicity of Real Cocycles over Minimal Rotations |
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Authors: | Mariusz Lemańczyk Mieczys?aw K Mentzen |
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Institution: | (1) Nicholas Copernicus University, Toruń, Poland, PL |
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Abstract: | We prove that for each minimal rotation on a compact metric group and each topological cocycle , either φ is a topological coboundary, or is topologically ergodic, or the partition into orbits is the decomposition of into minimal components. As an application, we generalize a result by Glasner and show that if is a minimal topologically weakly mixing flow, then whenever φ is universally ergodic the minimal map
is not PI but is disjoint from all minimal topologically weakly mixing systems.
(Received 14 June 1999; in final form 28 September 2001) |
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Keywords: | 2000 Mathematics Subject Classification: 54H20 |
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