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math.LO2013★ 2 cited
Uniformly defining valuation rings in Henselian valued fields with finite or pseudo-finite residue fields
Raf Cluckers, Jamshid Derakhshan, Eva Leenknegt +1
We give a definition, in the ring language, of Z_p inside Q_p and of F_p[[t]] inside F_p((t)), which works uniformly for all and all finite field extensions of these fields, an…
math.LO2013
Differentiation in P-minimal structures and a p-adic Local Monotonicity Theorem
Tristan Kuijpers, Eva Leenknegt
We prove a p-adic, local version of the Monotonicity Theorem for P-minimal structures. The existence of such a theorem was originally conjectured by Haskell and Macpherson. We appr…