An inverse mapping theorem for arc-analytic homeomorphisms
Toshizumi Fukui; Krzysztof Kurdyka; Laurentiu Paunescu
Banach Center Publications (2004)
- Volume: 65, Issue: 1, page 49-56
- ISSN: 0137-6934
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topToshizumi Fukui, Krzysztof Kurdyka, and Laurentiu Paunescu. "An inverse mapping theorem for arc-analytic homeomorphisms." Banach Center Publications 65.1 (2004): 49-56. <http://eudml.org/doc/282566>.
@article{ToshizumiFukui2004,
abstract = {We show that a subanalytic map-germ (Rⁿ,0) → (Rⁿ,0) which is arc-analytic and bi-Lipschitz has an arc-analytic inverse.},
author = {Toshizumi Fukui, Krzysztof Kurdyka, Laurentiu Paunescu},
journal = {Banach Center Publications},
keywords = {arc-analytic; bi-Lipschitz map germs; sub-analytic; homeomorphism},
language = {eng},
number = {1},
pages = {49-56},
title = {An inverse mapping theorem for arc-analytic homeomorphisms},
url = {http://eudml.org/doc/282566},
volume = {65},
year = {2004},
}
TY - JOUR
AU - Toshizumi Fukui
AU - Krzysztof Kurdyka
AU - Laurentiu Paunescu
TI - An inverse mapping theorem for arc-analytic homeomorphisms
JO - Banach Center Publications
PY - 2004
VL - 65
IS - 1
SP - 49
EP - 56
AB - We show that a subanalytic map-germ (Rⁿ,0) → (Rⁿ,0) which is arc-analytic and bi-Lipschitz has an arc-analytic inverse.
LA - eng
KW - arc-analytic; bi-Lipschitz map germs; sub-analytic; homeomorphism
UR - http://eudml.org/doc/282566
ER -
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