On some definable sets over fields with analytic structure

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.

• Type: Journal
• Year: 2010
• Where: APAL
• Authors: Y. Firat Çelikler
• Keywords: APAL 2010, Certain Definable Sets, Non-Archimedean Valued Fields, Parameterized Smooth Stratification