Rigid Subanalytic Sets

DOI10.2307/2374723zbMath0792.14010OpenAlexW2328429071MaRDI QIDQ5286447

Leonard Lipshitz

Publication date: 29 June 1993

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2374723

zbMATH Keywords

elimination of quantifierssubanalytic setsnon-archimedean valuation

Mathematics Subject Classification ID

Local ground fields in algebraic geometry (14G20) Semi-analytic sets, subanalytic sets, and generalizations (32B20) Quantifier elimination, model completeness, and related topics (03C10) Valued fields (12J10)

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Unexpected imaginaries in valued fields with analytic structure ⋮ Model Theory of Analytic Functions: Some Historical Comments ⋮ Overconvergent subanalytic subsets in the framework of Berkovich spaces ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Closure of rigid semianalytic sets ⋮ \(\ell\)-adic perverse sheaves over a torus ⋮ A nonarchimedean Ax-Lindemann theorem ⋮ A note on tropicalization in the context of Berkovich spaces ⋮ Tropical analytic geometry, Newton polygons, and tropical intersections ⋮ Tropicalization of the moduli space of stable maps ⋮ A closedness theorem and applications in geometry of rational points over Henselian valued fields ⋮ Real closed valued fields with analytic structure ⋮ On some definable sets over fields with analytic structure ⋮ Special transformations in algebraically closed valued fields ⋮ Analytic cell decomposition and the closure of p-adic semianalytic sets ⋮ Algebraic properties of separated power series ⋮ Strictly convergent analytic structures ⋮ One-dimensional fibers of rigid subanalytic sets ⋮ Vapnik-Chervonenkis density in some theories without the independence property, I ⋮ Parameterized stratification and piece number of D-semianalytic sets ⋮ Uniform properties of rigid subanalytic sets ⋮ Valued fields, metastable groups ⋮ A closedness theorem over Henselian fields with analytic structure and its applications ⋮ Analytic cell decomposition and analytic motivic integration ⋮ DEFINABLE SETS OF BERKOVICH CURVES ⋮ Dévisser, découper, éclater et aplatir les espaces de Berkovich ⋮ Smooth points of \(p\)-adic subanalytic sets

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