MODNET
Research Training Network in Model Theory
Publications > Preprint server > Preprint Number 570

Preprint Number 570

Previous Next Preprint server


570. Tristan Kuijpers and Eva Leenknegt
Differentiation in P-minimal structures and a p-adic Local Monotonicity Theorem
E-mail:

Submission date: 26 March 2013.

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.

Mathematics Subject Classification:

Keywords and phrases:

Full text arXiv 1303.6429: pdf, ps.


Last updated: March 30 2013 21:23 Please send your corrections to: