IMI/Publicaţii/BASM/Ediţii/BASM n.1 (59), 2009/

On free topological groups.

Authors: Ina Ciobanu


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



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