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.
Titolo: | Compact-like totally dense subgroups of compact groups |
Autori: | |
Data di pubblicazione: | 1992 |
Rivista: | |
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. |
Handle: | http://hdl.handle.net/11390/681436 |
Appare nelle tipologie: | 1.1 Articolo in rivista |
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