An inverse mapping theorem for arc-analytic homeomorphisms

• Autorzy: Toshizumi Fukui , Krzysztof Kurdyka , Laurentiu Paunescu
• Języki publikacji: EN

Abstrakty

EN

We show that a subanalytic map-germ (Rⁿ,0) → (Rⁿ,0) which is arc-analytic and bi-Lipschitz has an arc-analytic inverse.

Kategorie tematyczne

• 32B20: Semi-analytic sets and subanalytic sets
• 14Pxx: Real algebraic and real analytic geometry

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2004
• Tom: 65
• Numer: 1
• Strony: 49-56

Daty

wydano

2004

Twórcy

autor

Toshizumi Fukui

• Department of Mathematics, Faculty of Science, Saitama, University, 255 Shimo-Okubo, Urawa 338-8570, Japan

autor

Krzysztof Kurdyka

• Laboratoire de Mathématiques, Université de Savoie, Campus Scientifique, 73 376 Le Bourget-du-Lac Cedex, France

autor

Laurentiu Paunescu

• School of Mathematics and Statistics, University of Sydney, NSW 2006, Australia

Identyfikatory

DOI

10.4064/bc65-0-3