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Sbornik: Mathematics, 1999, Volume 190, Issue 7, Pages 1059–1076
DOI: https://doi.org/10.1070/sm1999v190n07ABEH000418 (Mi sm418) 		 
This article is cited in 18 scientific papers (total in 18 papers)

Universal Abelian topological groups

S. A. Shkarin

M. V. Lomonosov Moscow State University
English version PDF (486 kB) Citations (18)
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DOI: https://doi.org/10.1070/sm1999v190n07ABEH000418
Abstract: A topological group $G$ is said to be universal in a class $\mathscr K$ of topological groups if $G\in\mathscr K$ and if for every group $H\in\mathscr K$ there is a subgroup $K$ of $G$ that is isomorphic to $H$ as a topological group.
A group is constructed that is universal in the class of separable metrizable topological Abelian groups.
Received: 20.10.1998
Russian version:
Matematicheskii Sbornik, 1999, Volume 190, Number 7, Pages 127–144
DOI: https://doi.org/10.4213/sm418
Bibliographic databases:
UDC: 512.54
MSC: 22A05
Language: English
Original paper language: Russian
Citation: S. A. Shkarin, “Universal Abelian topological groups”, Mat. Sb., 190:7 (1999), 127–144; Sb. Math., 190:7 (1999), 1059–1076
Citation in format AMSBIB
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\paper Universal Abelian topological groups
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\pages 1059--1076
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    • This publication is cited in the following 18 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1992–2005 Sbornik: Mathematics
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    Russian version PDF:203
    English version PDF:17
    References:45
    First page:1
     
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