On invariant CCC -ideals
Jan Kraszewski (2005)
Acta Universitatis Carolinae. Mathematica et Physica
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Jan Kraszewski (2005)
Acta Universitatis Carolinae. Mathematica et Physica
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C. Johnson (1988)
Fundamenta Mathematicae
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Adam Krawczyk, Andrzej Pelc (1980)
Fundamenta Mathematicae
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Alan Taylor (1980)
Fundamenta Mathematicae
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Lev Bukovský (2010)
Acta Universitatis Carolinae. Mathematica et Physica
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Stanley Wagon (1980)
Fundamenta Mathematicae
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Richard Laver (1978)
Compositio Mathematica
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Samuel Coskey, Tamás Mátrai, Juris Steprāns (2013)
Fundamenta Mathematicae
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We discuss the Borel Tukey ordering on cardinal invariants of the continuum. We observe that this ordering makes sense for a larger class of cardinals than has previously been considered. We then provide a Borel version of a large portion of van Douwen's diagram. For instance, although the usual proof of the inequality 𝔭 ≤ 𝔟 does not provide a Borel Tukey map, we show that in fact there is one. Afterwards, we revisit a result of Mildenberger concerning a generalization of the unsplitting...
Kojman, Menachem (2005)
Abstract and Applied Analysis
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T. Banakh, M. Morayne, R. Rałowski, Sz. Żeberski (2015)
Fundamenta Mathematicae
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We study and classify topologically invariant σ-ideals with an analytic base on Euclidean spaces, and evaluate the cardinal characteristics of such ideals.