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Subanalytic version of Whitney’s extension theorem. (English) Zbl 0955.32006
Summary: For any subanalytic \({\mathcal C}^k\)-Whitney field \((k\) finite), we construct its subanalytic \({\mathcal C}^k\)-extension to \(\mathbb{R}^n\). Our method also applies to other \(o\)-minimal structures; e.g., to semialgebraic Whitney fields.

MSC:
32B20 Semi-analytic sets, subanalytic sets, and generalizations
14P10 Semialgebraic sets and related spaces
26B05 Continuity and differentiation questions
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