Let α be an infinite cardinal. Generalizing a recent result of Comfort and van Mill, we prove that every α-pseudocompact abelian group of weight >α has some proper dense α-pseudocompact subgroup and admits some strictly finer α-pseudocompact group topology.
Extremal α-pseudocompact abelian groups
GIORDANO BRUNO, Anna
2009-01-01
Abstract
Let α be an infinite cardinal. Generalizing a recent result of Comfort and van Mill, we prove that every α-pseudocompact abelian group of weight >α has some proper dense α-pseudocompact subgroup and admits some strictly finer α-pseudocompact group topology.File in questo prodotto:
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forum.2009.032.pdf
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