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Furstenberg’s structure theorem via CHART groups
Published online by Cambridge University Press: 17 April 2012
Abstract
We give an almost self-contained group theoretic proof of Furstenberg’s structure theorem as generalized by Ellis: each minimal compact distal flow is the result of a transfinite sequence of equicontinuous extensions, and their limits, starting from a flow consisting of a singleton. The groups that we use are CHART groups, and their basic properties are recalled at the beginning of the paper.
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- Copyright © 2012 Cambridge University Press
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