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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This paper is the result of the second author master thesis at Universidad de los Andes, Bogotá. We would like to thank Itaï Ben Yaacov for suggesting this problem and for helpful discussions.
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Berenstein, A., Muñoz, J.D. Definable connectedness of randomizations of groups. Arch. Math. Logic 60, 1019–1041 (2021). https://doi.org/10.1007/s00153-021-00773-8
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DOI: https://doi.org/10.1007/s00153-021-00773-8