It is proved that the countably compact totally minimal abelain groups are compact and examples of non-compact of omega-bounded (so, countably compact) totally minimal groups are given. Under the assumption of thre Lusin hypothesis, it is proved that a compact abelian group admits a proper totally dense pseudocompact subgroup precisely when the torsion part contains a G_delta subgroup.
Compact-like totally dense subgroups of compact groups
DIKRANJAN, Dikran;
1992-01-01
Abstract
It is proved that the countably compact totally minimal abelain groups are compact and examples of non-compact of omega-bounded (so, countably compact) totally minimal groups are given. Under the assumption of thre Lusin hypothesis, it is proved that a compact abelian group admits a proper totally dense pseudocompact subgroup precisely when the torsion part contains a G_delta subgroup.File in questo prodotto:
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