Geodesic
On free topological groups
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 1 (2009), pp. 58-66 
Ina Ciobanu. On free topological groups. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 1 (2009), pp. 58-66. http://geodesic.mathdoc.fr/item/BASM_2009_1_a5/
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     title = {On free topological groups},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BASM_2009_1_a5/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

In the present article the existence and unicity of almost $(\mathcal U,\mathcal V)$-free group over given space, where $\mathcal U,\mathcal V$ are classes of topological groups is studied. If $\mathcal V$ is a quasivariety of compact topological groups and $\mathcal V\subseteq\mathcal U$, then these objects exist for any space. If $W$ is a quasivariety of compact groups, $\mathcal U=\mathcal V$ is the class of all pseudocompact subgroups of groups from $W$, then the almost $(\mathcal U,\mathcal V)$-free groups exist only for some special spaces.

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