Motivated by a recent theorem of Comfort and van Mill, we study when a pseudocompact Abelian group admits proper dense minimal pseudocompact subgroups and give a complete answer in the case of compact Abelian groups. Moreover we characterize compact Abelian groups that admit proper dense minimal subgroups.
Dense minimal pseudocompact subgroups of compact abelian groups
GIORDANO BRUNO, Anna
2008-01-01
Abstract
Motivated by a recent theorem of Comfort and van Mill, we study when a pseudocompact Abelian group admits proper dense minimal pseudocompact subgroups and give a complete answer in the case of compact Abelian groups. Moreover we characterize compact Abelian groups that admit proper dense minimal subgroups.File in questo prodotto:
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