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20132022
most citedThe Borel cardinality of Lascar strong types

10 citations · 31 across the 18 of their papers we have counts for

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Showing 2021Show all

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math.LO2021

The Feldman-Moore, Glimm-Effros, and Lusin-Novikov theorems over quotients

N. de Rancourt, B. D. Miller

We establish generalizations of the Feldman-Moore theorem, the Glimm-Effros dichotomy, and the Lusin-Novikov uniformization theorem from Polish spaces to their quotients by Borel o…

math.LO2021

A dichotomy for countable unions of smooth Borel equivalence relations

N. de Rancourt, B. D. Miller

We show that if an equivalence relation on a Polish space is a countable union of smooth Borel subequivalence relations, then there is either a Borel reduction of to a coun…