Abstract
It is proved that for every there exists an -dimensional bicompactum [ = compact Hausdorff space] with first axiom of countability, such that every closed subset has either or , where is an arbitrary nonzero abelian group. The main result is the construction, for every , assuming the continuum hypothesis, of an -dimensional bicompactum of which every closed subset is either finite or -dimensional.Bibliography: 12 items.
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