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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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