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math.LO2020
Differential exponential topological fields
Francoise Point, Nathalie Regnault
We axiomatize a class of existentially closed exponential fields equipped with an -derivation. We apply our results to the field of real numbers endowed with the classi…
math.LO2020
Coincidence of dimensions in closed ordered differential fields
Pantelis E. Eleftheriou, Omar Leon Sanchez, Nathalie Regnault
Let be a closed ordered differential field, in the sense of M. Singer, and its field of constants. In this note, we prove that, for set…