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Cell decomposition for P-minimal fields

By Marie-hélène Mourgues


Abstract In [S-vdD] P. Scowcroft and L. van den Dries prove 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 [H-Mph]. 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 [M].

Year: 2008
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