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Urysohn universal spaces as metric groups of exponent 2

Piotr Niemiec (2009)

Fundamenta Mathematicae

The aim of the paper is to prove that the bounded and unbounded Urysohn universal spaces have unique (up to isometric isomorphism) structures of metric groups of exponent 2. An algebraic-geometric characterization of Boolean Urysohn spaces (i.e. metric groups of exponent 2 which are metrically Urysohn spaces) is given.

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