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arxiv: 0904.2659 · v1 · submitted 2009-04-17 · 🧮 math.GN · math.GR

Extremal k-pseudocompact abelian groups

classification 🧮 math.GN math.GR
keywords k-pseudocompactabeliangroupsomeadmitscardinalcomfortdense
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For a cardinal k, generalizing a recent result of Comfort and van Mill, we prove that every k-pseudocompact abelian group of weight >k has some proper dense k-pseudocompact subgroup and admits some strictly finer k-pseudocompact group topology.

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