Subanalytic version of Whitney's extension theorem

• Autorzy: Krzysztof Kurdyka , Wiesław Pawłucki
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

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

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1997
• Tom: 124
• Numer: 3
• Strony: 269-280

Daty

wydano

1997

otrzymano

1996-03-11

poprawiono

1996-11-18

Twórcy

autor

Krzysztof Kurdyka

• Laboratoire de Mathématiques, Université de Savoie, Campus Scientifique, 73 376 Le Bourget-du-Lac Cedex, France
• Institute of Mathematics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland

autor

Wiesław Pawłucki

• Institute of Mathematics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland

Bibliografia

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