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- W2963679866 abstract "We prove that if there exists a bi-Lipschitz homeomorphism (not necessarily subanalytic) between two subanalytic sets, then their tangent cones are bi-Lipschitz homeomorphic. As a consequence of this result, we show that any Lipschitz regular complex analytic set, i.e., any complex analytic set which is locally bi-Lipschitz homeomorphic to an Euclidean ball must be smooth. Finally, we give an alternative proof of S. Koike and L. Paunescu’s result about the bi-Lipschitz invariance of directional dimensions of subanalytic sets." @default.
- W2963679866 created "2019-07-30" @default.
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- W2963679866 date "2015-09-03" @default.
- W2963679866 modified "2023-10-12" @default.
- W2963679866 title "Bi-Lipschitz homeomorphic subanalytic sets have bi-Lipschitz homeomorphic tangent cones" @default.
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- W2963679866 doi "https://doi.org/10.1007/s00029-015-0195-9" @default.
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