Furstenberg’s structure theorem via CHART groups

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...

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Bibliographic Details
Published inErgodic theory and dynamical systems Vol. 33; no. 3; pp. 954 - 968
Main Authors MOORS, WARREN B., NAMIOKA, ISAAC
Format Journal Article
LanguageEnglish
Published Cambridge, UK Cambridge University Press 01.06.2013
Subjects
Dynamical systems
Ergodic processes
Mathematical analysis
Proving
Theorems
Topology
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Summary: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.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
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ISSN:0143-3857
1469-4417
DOI:10.1017/S0143385712000089