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Irresolvable countable spaces of weight less than

Viacheslav I. Malykhin (1999)

Commentationes Mathematicae Universitatis Carolinae

We construct in Bell-Kunen’s model: (a) a group maximal topology on a countable infinite Boolean group of weight 1 < and (b) a countable irresolvable dense subspace of 2 ω 1 . In this model = ω 1 .

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