Metrically universal abelian groups

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F17%3A00474420" target="_blank" >RIV/67985840:_____/17:00474420 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1090/tran/7059" target="_blank" >http://dx.doi.org/10.1090/tran/7059</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1090/tran/7059" target="_blank" >10.1090/tran/7059</a>

Result language

angličtina

Original language name

Metrically universal abelian groups

Original language description

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.

Czech name

—

Czech description

—

Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

—

OECD FORD branch

10101 - Pure mathematics

Project

<a href="/en/project/IAA100190902" target="_blank" >IAA100190902: Mathematical logic, complexity, and algorithms</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2017

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

American Mathematical Society. Transactions

ISSN

0002-9947

e-ISSN

—

Volume of the periodical

369

Issue of the periodical within the volume

8

Country of publishing house

US - UNITED STATES

Number of pages

18

Pages from-to

5981-5998

UT code for WoS article

000400760300025

EID of the result in the Scopus database

2-s2.0-85019048089