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

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

2004-09-07

arxiv.org/abs/math/0409109v2

Mathematics

Logic

27 pages

Scientific paper

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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