Urysohn universal spaces as metric groups of exponent 2

Piotr Niemiec. "Urysohn universal spaces as metric groups of exponent 2." Fundamenta Mathematicae 204.1 (2009): 1-6. <http://eudml.org/doc/282877>.

@article{PiotrNiemiec2009,
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.},
author = {Piotr Niemiec},
journal = {Fundamenta Mathematicae},
keywords = {Urysohn's universal space; metric groups of exponent 2; ultrahomogeneous spaces},
language = {eng},
number = {1},
pages = {1-6},
title = {Urysohn universal spaces as metric groups of exponent 2},
url = {http://eudml.org/doc/282877},
volume = {204},
year = {2009},
}

TY - JOUR
AU - Piotr Niemiec
TI - Urysohn universal spaces as metric groups of exponent 2
JO - Fundamenta Mathematicae
PY - 2009
VL - 204
IS - 1
SP - 1
EP - 6
AB - 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.
LA - eng
KW - Urysohn's universal space; metric groups of exponent 2; ultrahomogeneous spaces
UR - http://eudml.org/doc/282877
ER -