Resolvability properties via independent families
نویسندگان
چکیده
منابع مشابه
Resolvability properties via independent families
The 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 s...
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Article history: Received 22 January 2009 Accepted 1 December 2009 MSC: primary 05A18, 03E05, 54A10 secondary 03E35, 54A25, 05D05
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ژورنال
عنوان ژورنال: Topology and its Applications
سال: 2007
ISSN: 0166-8641
DOI: 10.1016/j.topol.2006.02.005