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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
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
Citation:
S. A. Shkarin, “Universal Abelian topological groups”, Sb. Math., 190:7 (1999), 1059–1076
Linking options:
https://www.mathnet.ru/eng/sm418https://doi.org/10.1070/sm1999v190n07ABEH000418 https://www.mathnet.ru/eng/sm/v190/i7/p127
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