Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.
Let $S$ be a unit sphere in the Urysohn space$U$$\mathbb{U}$.
Is it true that any isometry $S\to S$ can be extended to an isometry $U\to U$$\mathbb{U}\to \mathbb{U}$?
Let $S$ be a unit sphere in the Urysohn space$U$.
Is it true that any isometry $S\to S$ can be extended to an isometry $U\to U$?
Let $S$ be a unit sphere in the Urysohn space$\mathbb{U}$.
Is it true that any isometry $S\to S$ can be extended to an isometry $\mathbb{U}\to \mathbb{U}$?