Linear extension operators for continuous functions on definable sets in the p‐adic context

DOI10.1002/malq.201500079zbMath1469.03111OpenAlexW2608546713MaRDI QIDQ5108093

Athipat Thamrongthanyalak

Publication date: 29 April 2020

Published in: Mathematical Logic Quarterly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/malq.201500079

Mathematics Subject Classification ID

Real-analytic and semi-analytic sets (14P15) Continuity and differentiation questions (26B05) Model theory of ordered structures; o-minimality (03C64)

Related Items (1)

On p‐adic semi‐algebraic continuous selections

Cites Work

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• On variants of \(o\)-minimality
• Definable versions of theorems by Kirszbraun and Helly
• Cell decomposition forP-minimal fields
• p-adic semi-algebraic sets and cell decomposition.
• Formule de Cauchy-Crofton pour la densité des ensembles sous-analytiques
• A version of o-minimality for the p-adics
• Analytic $p$-adic cell decomposition and integrals
• A DEFINABLE -ADIC ANALOGUE OF KIRSZBRAUN’S THEOREM ON EXTENSIONS OF LIPSCHITZ MAPS
• Lipschitz extensions of definable p‐adic functions

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