On the equivalence between CH and the existence of certain -Luzin subsets of .
Zoli, Enrico (2004)
Georgian Mathematical Journal
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Zoli, Enrico (2004)
Georgian Mathematical Journal
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K. Izuchi (1980)
Colloquium Mathematicae
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Chiarella, Carl, Szidarovszky, Ference (2000)
Southwest Journal of Pure and Applied Mathematics [electronic only]
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Haim Judah, Amiran Lior, Ireneusz Recław (1997)
Colloquium Mathematicae
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K. Izuchi (1976)
Colloquium Mathematicae
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Kar, S. (2011)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Marek Balcerzak (1991)
Colloquium Mathematicae
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Let X, Y be uncountable Polish spaces and let μ be a complete σ-finite Borel measure on X. Denote by K and L the families of all meager subsets of X and of all subsets of Y with μ measure zero, respectively. It is shown that the product of the ideals K and L restricted to C-sets of Selivanovskiĭ is σ-saturated, which extends Gavalec's results.
Michael Hrušák, David Meza-Alcántara (2011)
Commentationes Mathematicae Universitatis Carolinae
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We propose and study a “classification” of Borel ideals based on a natural infinite game involving a pair of ideals. The game induces a pre-order and the corresponding equivalence relation. The pre-order is well founded and “almost linear”. We concentrate on and ideals. In particular, we show that all -ideals are -equivalent and form the least equivalence class. There is also a least class of non- Borel ideals, and there are at least two distinct classes of non- ideals. ...
Kulosman, H. (2009)
Acta Mathematica Universitatis Comenianae. New Series
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Chaopraknoi, Sureeporn, Savettaseranee, Knograt, Lertwichitsilp, Patcharee (2005)
General Mathematics
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