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math.LO2015
Universal and complete sets in martingale theory
Dominique Lecomte, Miroslav Zeleny
The Doob convergence theorem implies that the set of divergence of any martingale has measure zero. We prove that, conversely, any subset of the Cantor space with Lebesgu…
math.LO2015
Injective tests of low complexity in the plane
Dominique Lecomte, Rafael Zamora
We study injective versions of the characterization of sets potentially in a Wadge class of Borel sets, for the first Borel and Lavrentieff classes. We also study the case of orien…