A+ CATEGORY SCIENTIFIC UNIT

Subanalytic version of Whitney's extension theorem

Volume 124 / 1997

Krzysztof Kurdyka, Wiesław Pawłucki 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.

Authors

  • Krzysztof Kurdyka
  • Wiesław Pawłucki

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