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Projectively universal countable metrizable groups (1409.4108v2)
Published 14 Sep 2014 in math.GR
Abstract: We prove that there exists a countable metrizable topological group $G$ such that every countable metrizable group is isomorphic to a quotient of $G$. The completion $H$ of $G$ is a Polish group such that every Polish group is isomorphic to a quotient of $H$.
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