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Resumen de On the extension of bi-Lipschitz mappings

Lev Birbrair, Alexandre Fernandes, Zbigniew Jelonek

  • Let X be a closed semialgebraic set of dimension k. If n≥2k+1, then there is a bi-Lipschitz and semialgebraic embedding of X into Rn. Moreover, if n≥2k+2, then this embedding is unique (up to a bi-Lipschitz and semialgebraic homeomorphism of Rn). We also give local and complex algebraic counterparts of these results.


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