Subanalytic version of Whitney's extension theorem

Krzysztof Kurdyka; Wiesław Pawłucki

Studia Mathematica (1997)

  • Volume: 124, Issue: 3, page 269-280
  • ISSN: 0039-3223

Abstract

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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.

How to cite

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Kurdyka, Krzysztof, and Pawłucki, Wiesław. "Subanalytic version of Whitney's extension theorem." Studia Mathematica 124.3 (1997): 269-280. <http://eudml.org/doc/216414>.

@article{Kurdyka1997,
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.},
author = {Kurdyka, Krzysztof, Pawłucki, Wiesław},
journal = {Studia Mathematica},
keywords = {subanalytic extension; Whitney's extension theorem; semialgebraic Whitney fields},
language = {eng},
number = {3},
pages = {269-280},
title = {Subanalytic version of Whitney's extension theorem},
url = {http://eudml.org/doc/216414},
volume = {124},
year = {1997},
}

TY - JOUR
AU - Kurdyka, Krzysztof
AU - Pawłucki, Wiesław
TI - Subanalytic version of Whitney's extension theorem
JO - Studia Mathematica
PY - 1997
VL - 124
IS - 3
SP - 269
EP - 280
AB - 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.
LA - eng
KW - subanalytic extension; Whitney's extension theorem; semialgebraic Whitney fields
UR - http://eudml.org/doc/216414
ER -

References

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