Urysohn universal spaces as metric groups of exponent 2
Piotr Niemiec
Fundamenta Mathematicae, Tome 205 (2009), p. 1-6 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2009-01-01
EUDML-ID : urn:eudml:doc:282877 
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     journal = {Fundamenta Mathematicae},
     volume = {205},
     year = {2009},
     pages = {1-6},
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     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm204-1-1}
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Piotr Niemiec. Urysohn universal spaces as metric groups of exponent 2. Fundamenta Mathematicae, Tome 205 (2009) pp. 1-6. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm204-1-1/