A DEFINABLE -ADIC ANALOGUE OF KIRSZBRAUN’S THEOREM ON EXTENSIONS OF LIPSCHITZ MAPS

DOI10.1017/S1474748015000390zbMath1436.03196arXiv1502.03036MaRDI QIDQ4600328

Florent Martin, Raf Cluckers

Publication date: 8 January 2018

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.03036

zbMATH Keywords

Lipschitz continuous functions\(p\)-adic cell decomposition\(p\)-adic semi-algebraic functions\(p\)-adic subanalytic functionsdefinable retractions

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Non-Archimedean valued fields (12J25) Applications of model theory (03C98)

Related Items (3)

Linear extension operators for continuous functions on definable sets in the p‐adic context ⋮ On p‐adic semi‐algebraic continuous selections ⋮ A closedness theorem over Henselian fields with analytic structure and its applications

Cites Work

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