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Preprint Number 1415

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1415. Alexander Berenstein and Jorge Daniel Muñoz
Randomization of Definable Groups

Submission date: 23 April 2018


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.

Mathematics Subject Classification: 2010: 03C45, 03C64, 03C90

Keywords and phrases: stable theories, NIP theories, metric structures, randomizations, connected groups, definably amenable groups.

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