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Preprint Number 1415

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1415. Alexander Berenstein and Jorge Daniel Muñoz
Randomization of Definable Groups
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Submission date: 23 April 2018

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.

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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