论文标题
关于Bi-Lipschitz映射的扩展
On the extension of bi-Lipschitz mappings
论文作者
论文摘要
让$ x $成为一套封闭的半gebraic $ k。$ $ k。 $ \ bbb r^n。$
Let $X$ be a closed semialgebraic set of dimension $k.$ If $n\ge 2k+1$, then there is a bi-Lipschitz and semialgebraic embedding of $X$ into $\Bbb R^n.$ Moreover, if $n \ge 2k+2$, then this embedding is unique (up to a bi-Lipschitz and semialgebraic homeomorphism of $\Bbb R^n.$
