This article is cited in 18 papers

Universal Abelian topological groups

S. A. Shkarin

M. V. Lomonosov Moscow State University

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.

UDC: 512.54

MSC: 22A05

Received: 20.10.1998

DOI: 10.4213/sm418

 English version: Sbornik: Mathematics, 1999, 190:7, 1059–1076

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