An inverse mapping theorem for arc-analytic homeomorphisms
Toshizumi Fukui ; Krzysztof Kurdyka ; Laurentiu Paunescu
Banach Center Publications, Tome 65 (2004), p. 49-56 / Harvested from The Polish Digital Mathematics Library
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We show that a subanalytic map-germ (Rⁿ,0) → (Rⁿ,0) which is arc-analytic and bi-Lipschitz has an arc-analytic inverse.

Publié le : 2004-01-01
EUDML-ID : urn:eudml:doc:282566 
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     title = {An inverse mapping theorem for arc-analytic homeomorphisms},
     journal = {Banach Center Publications},
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     year = {2004},
     pages = {49-56},
     zbl = {1070.32005},
     language = {en},
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Toshizumi Fukui; Krzysztof Kurdyka; Laurentiu Paunescu. An inverse mapping theorem for arc-analytic homeomorphisms. Banach Center Publications, Tome 65 (2004) pp. 49-56. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc65-0-3/