Authors: Ina Ciobanu
Abstract
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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