Mathematical Logic Quarterly 63 (3-4):299-312 (2017)

We study the impact of a kind of non-archimedean stratifications on tangent cones of definable sets in real closed fields. We prove that such stratifications induce stratifications of the same nature on the tangent cone of a definable set at a fixed point. As a consequence, the archimedean counterpart of a t-stratification is shown to induce Whitney stratifications on the tangent cones of a semi-algebraic set. Extensions of these results are proposed for real closed fields with further structure.
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DOI 10.1002/malq.201600023
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References found in this work BETA

T-Convexity and Tame Extensions.Dries Lou Van Den & H. Lewenberg Adam - 1995 - Journal of Symbolic Logic 60 (1):74 - 102.
T-Convexity and Tame Extensions II.Lou Van Den Dries - 1997 - Journal of Symbolic Logic 62 (1):14-34.
B-Minimality.Raf Cluckers & François Loeser - 2007 - Journal of Mathematical Logic 7 (2):195-227.
T-Convexity and Tame Extensions II.Lou Van Den Dries - 1997 - Journal of Symbolic Logic 62 (1):14 - 34.

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