Definable connectedness of randomizations of groups

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Archive for Mathematical Logic 60 (7):1019-1041 (2021)
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Abstract

We study randomizations of definable groups. Whenever the underlying theory is stable or NIP and the group is definably amenable, we show its randomization is definably connected.

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10.1007/s00153-021-00773-8

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References found in this work

Paires de structures Stables.Bruno Poizat - 1983 - Journal of Symbolic Logic 48 (2):239-249.
Separable models of randomizations.Uri Andrews & H. Jerome Keisler - 2015 - Journal of Symbolic Logic 80 (4):1149-1181.
Definable closure in randomizations.Uri Andrews, Isaac Goldbring & H. Jerome Keisler - 2015 - Annals of Pure and Applied Logic 166 (3):325-341.
Stability and stable groups in continuous logic.Itaï Ben Yaacov - 2010 - Journal of Symbolic Logic 75 (3):1111-1136.

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