Definable functions and stratifications in power-bounded \(T\)-convex fields

DOI10.1215/00294527-2020-0013zbMath1458.14063OpenAlexW3083807189MaRDI QIDQ2656213

Erick García Ramírez

Publication date: 10 March 2021

Published in: Notre Dame Journal of Formal Logic (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ndjfl/1599638409

zbMATH Keywords

Whitney stratificationsreal closed valued fields\(o\)-minimalityJacobian property\(b\)-minimality\(T\)-convex fields\(t\)-stratifications

Mathematics Subject Classification ID

Semialgebraic sets and related spaces (14P10) Applications of model theory (03C98) Model theory of ordered structures; o-minimality (03C64)

Related Items (2)

Mini-workshop: Topological and differential expansions of o-minimal structures. Abstracts from the mini-workshop held November 27 -- December 3, 2022 ⋮ Hensel minimality I

Cites Work

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• Verdier and strict Thom stratifications in o-minimal structures
• Lipschitz stratifications in power-bounded \(o\)-minimal fields
• Non-Archimedean Whitney stratifications
• b-MINIMALITY
• Definable Sets in Ordered Structures. I
• Definable Sets in Ordered Structures. II
• T-convexity and tame extensions II
• Weakly o-minimal structures and real closed fields
• Generalized Euler characteristic in power-bounded T-convex valued fields
• T-convexity and tame extensions
• Canonical forms for definable subsets of algebraically closed and real closed valued fields
• Non‐archimedean stratifications of tangent cones
• Model completeness results for expansions of the ordered field of real numbers by restricted Pfaffian functions and the exponential function

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