Subanalytic version of Whitney's extension theorem
Volume 124 / 1997
Studia Mathematica 124 (1997), 269-280
DOI: 10.4064/sm-124-3-269-280
Abstract
For any subanalytic $C^k$-Whitney field (k finite), we construct its subanalytic $C^k$-extension to $ℝ^n$. Our method also applies to other o-minimal structures; e.g., to semialgebraic Whitney fields.