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Metrically universal abelian groups

SYSNO ASEP	0474420
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Článek ve WOS
Title	Metrically universal abelian groups
Author(s)	Doucha, Michal (MU-W)_{RID, SAI, ORCID}
Source Title	American Mathematical Society. Transactions. - : American Mathematical Society - ISSN 0002-9947 Roč. 369, č. 8 (2017), s. 5981-5998
Number of pages	18 s.
Language	eng - English
Country	US - United States
Keywords	Abelian group
Subject RIV	BA - General Mathematics
OECD category	Pure mathematics
R&D Projects	IAA100190902 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR)
Institutional support	MU-W - RVO:67985840
UT WOS	000400760300025
EID SCOPUS	85019048089
DOI	10.1090/tran/7059
Annotation	We give a positive answer to the question of Shkarin (Mat. Sb. 190 (1999), no. 7, 127-144) whether there exists a metrically universal abelian separable group equipped with invariant metric. Our construction also gives an example of a group structure on the Urysohn universal space that is substantially different from the previously known examples. Under some cardinal arithmetic assumptions, our results generalize to higher cardinalities.
Workplace	Mathematical Institute
Contact	Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
Year of Publishing	2018

Number of the records: 1