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arXiv · 1303.6429

Differentiation in P-minimal structures and a p-adic Local Monotonicity Theorem

Tristan Kuijpers·Eva Leenknegt
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Abstract

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 approach the problem by considering the first order strict derivative. In particular, we show that, for a wide class of P-minimal structures, the definable functions f : K -> K are almost everywhere strictly differentiable and satisfy the Local Jacobian Property.

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BibTeXRIS

Tristan Kuijpers, Eva Leenknegt. 2013-03-26. Differentiation in P-minimal structures and a p-adic Local Monotonicity Theorem. https://arxiv.org/abs/1303.6429

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