Displaying similar documents to “Around cofin”

Generalized Luzin sets

Lev Bukovský (2010)

Acta Universitatis Carolinae. Mathematica et Physica

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Borel Tukey morphisms and combinatorial cardinal invariants of the continuum

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...

Topologically invariant σ-ideals on Euclidean spaces

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.