Publication date
January 2007
DOI Publisher
Elsevier B.V. ISSN
0166-8641 Citation count (estimate)
5Abstract
AbstractThe authors give a consistent affirmative response to a question of Juhász, Soukup and Szentmiklóssy: If GCH fails, there are (many) extraresolvable, not maximally resolvable Tychonoff spaces. They show also in ZFC that for ω<λ⩽κ, no maximal λ-independent family of λ-partitions of κ is ω-resolvable. In topological language, that theorem translates to this: A dense, ω-resolvable subset of a space of the form (D(λ))I is λ-resolvable
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