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math.AG2017
Embedded Picard-Vessiot extensions
Quentin Brouette, Greg Cousins, Anand Pillay +1
We prove that if T is a theory of large, bounded, fields of characteristic zero, with almost quantifier elimination, and T_D is the model companion of T + "D is a derivation", then…
math.LO2017★ 2 cited
Strong density of definable types and closed ordered differential fields
Quentin Brouette, Pablo Cubides Kovacsics, Francoise Point
The following strong form of density of definable types is introduced for theories T admitting a fibered dimension function d: given a model M of T and a definable subset X of M^n,…