Cell decomposition for P‐minimal fields

Mathematical Logic Quarterly 55 (5):487-492 (2009)

Abstract
In [12], P. Scowcroft and L. van den Dries proved a cell decomposition theorem for p-adically closed fields. We work here with the notion of P-minimal fields defined by D. Haskell and D. Macpherson in [6]. We prove that a P-minimal field K admits cell decomposition if and only if K has definable selection. A preprint version in French of this result appeared as a prepublication [8]
Keywords Henselian valued field  p‐adic number  Cell decomposition  P‐minimality
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DOI 10.1002/malq.200810009
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References found in this work BETA

A Version of o-Minimality for the P-Adics.Deirdre Haskell & Dugald Macpherson - 1997 - Journal of Symbolic Logic 62 (4):1075-1092.
On Definable Subsets of P-Adic Fields.Angus MacIntyre - 1976 - Journal of Symbolic Logic 41 (3):605-610.

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