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...

Full description

Saved in:
Bibliographic Details
Published in:Ergodic theory and dynamical systems 2013-06, Vol.33 (3), p.954-968
Main Authors: MOORS, WARREN B., NAMIOKA, ISAAC
Format: Article
Language:English
Subjects:
Dynamical systems
Ergodic processes
Mathematical analysis
Proving
Theorems
Topology
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
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.
ISSN:0143-3857
1469-4417
DOI:10.1017/S0143385712000089