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- W2952826510 abstract "The Urysohn universal metric space U is characterized up to isometry by the following properties: (1) U is complete and separable; (2) U contains an isometric copy of every separable metric space; (3) every isometry between two finite subsets of U can be extended to an isometry of U onto itself. We show that U is homeomorphic to the Hilbert space l_2 (or to the countable power of the real line)." @default.
- W2952826510 created "2019-06-27" @default.
- W2952826510 creator A5005182172 @default.
- W2952826510 date "2003-09-05" @default.
- W2952826510 modified "2023-10-01" @default.
- W2952826510 title "The Urysohn universal metric space is homeomorphic to a Hilbert space" @default.
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