On some definable sets over fields with analytic structure

Annals of Pure and Applied Logic 161 (4):599-616 (2010)
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Abstract

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

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10.1016/j.apal.2009.09.001

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One-dimensional fibers of rigid subanalytic sets.L. Lipshitz & Z. Robinson - 1998 - Journal of Symbolic Logic 63 (1):83-88.

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