Details

Autor(en) / Beteiligte

• Garcia Ramirez, Erick

Titel

Non‐archimedean stratifications of tangent cones

Ist Teil von

• Mathematical logic quarterly, 2017-11, Vol.63 (3-4), p.299-312

Ort / Verlag

Berlin: Wiley Subscription Services, Inc

Erscheinungsjahr

2017

Quelle

Wiley-Blackwell Journals

Beschreibungen/Notizen

• We study the impact of a kind of non‐archimedean stratifications (t‐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.