Free topological groups of metrizable spaces

V. V. Uspenskii

Izvestiya. Mathematics , Tome 37 (1991) no. 3, pp. 657-680.

Résumé

The free topological group $F(X)$ of an arbitrary metrizable space $X$ is complete in the Weil sense. If $Y$ is a closed subspace of a metrizable space $X$, then $F(Y)$ is a topological subgroup of $F(X)$.

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