Polish groups with metrizable universal minimal flows
Résumé
We prove that if the universalminimal flow of a Polish group G is metrizable and contains a comeagre orbit O, then it is isomorphic to the completion of the homogeneous space G/O and show how this result translates naturally in terms of structural Ramsey theory. We also investigate universal minimal proximal flows and describe concrete representations of them in a number of examples.
Domaines
Logique [math.LO]| Origine | Fichiers produits par l'(les) auteur(s) |
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