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Polish groups with metrizable universal minimal flows
Abstract : 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.
Cited literature [13 references]
https://hal.archives-ouvertes.fr/hal-00983248
Contributor : Julien Melleray Connect in order to contact the contributor
Submitted on : Thursday, April 24, 2014 - 10:48:02 PM
Last modification on : Wednesday, February 9, 2022 - 11:02:03 AM
Long-term archiving on: : Thursday, July 24, 2014 - 11:57:04 AM
Contributor : Julien Melleray Connect in order to contact the contributor
Submitted on : Thursday, April 24, 2014 - 10:48:02 PM
Last modification on : Wednesday, February 9, 2022 - 11:02:03 AM
Long-term archiving on: : Thursday, July 24, 2014 - 11:57:04 AM
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MetrizableUMF6.pdf
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