Urysohn universal spaces as metric groups of exponent 2
Volume 204 / 2009
Fundamenta Mathematicae 204 (2009), 1-6
MSC: 51F99, 54H11.
DOI: 10.4064/fm204-1-1
Abstract
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.
