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Dimension Theory and Parameterized Normalization for D-Semianalytic Sets over Non-Archimedean Fields

Y. Firat Çelikler

Journal of Symbolic Logic 70 (2):593 - 618 (2005)

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Unexpected imaginaries in valued fields with analytic structure.Deirdre Haskell, Ehud Hrushovski & Dugald Macpherson - 2013 - Journal of Symbolic Logic 78 (2):523-542.details We give an example of an imaginary defined in certain valued fields with analytic structure which cannot be coded in the ‘geometric' sorts which suffice to code all imaginaries in the corresponding algebraic setting. Logic and Philosophy of Logic Model Theory in Logic and Philosophy of Logic Direct download (5 more) Export citation Bookmark 2 citations
On some definable sets over fields with analytic structure.Y. Fırat Çelı̇kler - 2010 - Annals of Pure and Applied Logic 161 (4):599-616.details We discover geometric properties of certain definable sets over non-Archimedean valued fields with analytic structures. Results include a parameterized smooth stratification theorem and the existence of a bound on the piece number of fibers for these sets. In addition, we develop a dimension theory for these sets and also for the formulas which define them. Areas of Mathematics in Philosophy of Mathematics Model Theory in Logic and Philosophy of Logic Science, Logic, and Mathematics Direct download (5 more) Export citation Bookmark

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