INTEGRATION AND CELL DECOMPOSITION IN P-MINIMAL STRUCTURES

DOI10.1017/jsl.2015.38zbMath1428.03060arXiv1502.06467OpenAlexW2962970415MaRDI QIDQ2976383

Eva Leenknegt, Pablo Cubides Kovacsics

Publication date: 28 April 2017

Published in: The Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.06467

zbMATH Keywords

integration\(p\)-adic numbersconstructible functionsrationality of Poincaré series\(p\)-adic cell decomposition\(P\)-minimalityfunction preparation

Mathematics Subject Classification ID

Non-Archimedean valued fields (12J25) Model theory of ordered structures; o-minimality (03C64) Model theory of fields (12L12) Basic properties of first-order languages and structures (03C07) Quantifier elimination, model completeness, and related topics (03C10)

Related Items (6)

Clustered cell decomposition in \(P\)-minimal structures ⋮ Definable completeness of P-minimal fields and applications ⋮ Exponential-constructible functions in P-minimal structures ⋮ CELL DECOMPOSITION AND CLASSIFICATION OF DEFINABLE SETS INp-OPTIMAL FIELDS ⋮ TOPOLOGICAL CELL DECOMPOSITION AND DIMENSION THEORY IN P-MINIMAL FIELDS ⋮ A P-MINIMAL STRUCTURE WITHOUT DEFINABLE SKOLEM FUNCTIONS

Cites Work

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• \(p\)-adic and real subanalytic sets
• The rationality of the Poincaré series associated to the p-adic points on a variety
• Essentially periodic ordered groups
• Integrability of oscillatory functions on local fields: transfer principles
• Reducts of \(p\)-adically closed fields
• Cell decomposition forP-minimal fields

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