Dimension theory and parameterized normalization for D-semianalytic sets over non-Archimedean fields – ScienceOpen
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      Dimension theory and parameterized normalization for D-semianalytic sets over non-Archimedean fields

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          Abstract

          We develop a dimension theory for D-semianalytic sets over an arbitrary non-Archimedean complete field. Our main results are the equivalence of several notions of dimension and a theorem on additivity of dimensions of projections and fibers in characteristic 0. We also prove a parameterized version of normalization for D-semianalytic sets.

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          p-adic and Real Subanalytic Sets

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            On definable subsets of p-adic fields

            The brilliant work of Ax-Kochen [1], [2], [3] and Ersov [6], and later work by Kochen [7] have made clear very striking resemblances between real closed fields and p-adically closed fields, from the model-theoretical point of view. Cohen [5], from a standpoint less model-theoretic, also contributed much to this analogy.
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              Dimension of definable sets, algebraic boundedness and Henselian fields

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                Author and article information

                Journal
                2004-09-07
                2005-03-29
                Article
                math/0409109
                73eecf32-c43c-4d51-b7b1-e1fdf91da2f4
                History
                Custom metadata
                27 pages
                math.LO

                Logic & Foundation
                Logic & Foundation

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