Irresolvable countable spaces of weight less than ℭ 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 ℵ 1 < ℭ and (b) a countable irresolvable dense subspace of 2 ω 1 . In this model ℭ = ℵ ω 1 .