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An inverse mapping theorem for arc-analytic homeomorphisms

Volume 65 / 2004

Toshizumi Fukui, Krzysztof Kurdyka, Laurentiu Paunescu Banach Center Publications 65 (2004), 49-56 MSC: Primary 32B20; Secondary 14Pxx. DOI: 10.4064/bc65-0-3

Abstract

We show that a subanalytic map-germ $({\bf R}^n,0)\to ({\bf R}^n,0)$ which is arc-analytic and bi-Lipschitz has an arc-analytic inverse.

Authors

  • Toshizumi FukuiDepartment of Mathematics
    Faculty of Science, Saitama
    University
    255 Shimo-Okubo,
    Urawa 338-8570, Japan
    e-mail
  • Krzysztof KurdykaLaboratoire de Mathématiques
    Université de Savoie
    Campus Scientifique
    73 376 Le Bourget-du-Lac Cedex, France
    e-mail
  • Laurentiu PaunescuSchool of Mathematics and Statistics
    University of Sydney
    NSW 2006, Australia
    e-mail

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