We give characterizations of the Borel sets potentially in some Wadge class, among the Borel sets with countable vertical sections of a product of two Polish spaces. To do this, we use some partial uniformization results.
@article{hal-00175691,
author = {Lecomte, Dominique},
title = {Uniformisations partielles et crit\`eres \`a la Hurewicz dans le plan},
journal = {HAL},
volume = {1995},
number = {0},
year = {1995},
language = {fr},
url = {http://dml.mathdoc.fr/item/hal-00175691}
}
Lecomte, Dominique. Uniformisations partielles et critères à la Hurewicz dans le plan. HAL, Tome 1995 (1995) no. 0, . http://gdmltest.u-ga.fr/item/hal-00175691/