Geodesic
Free topological groups of metrizable spaces
Izvestiya. Mathematics , Tome 37 (1991) no. 3, pp. 657-680

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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 $F(X)$. 
@article{IM2_1991_37_3_a9,
     author = {V. V. Uspenskii},
     title = {Free topological groups of metrizable spaces},
     journal = {Izvestiya. Mathematics },
     pages = {657--680},
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     number = {3},
     year = {1991},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1991_37_3_a9/}
}
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V. V. Uspenskii. Free topological groups of metrizable spaces. Izvestiya. Mathematics , Tome 37 (1991) no. 3, pp. 657-680. http://geodesic.mathdoc.fr/item/IM2_1991_37_3_a9/