Mycielski ideals generated by uncountable systems
A. Rosłanowski (1993)
Colloquium Mathematicae
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A. Rosłanowski (1993)
Colloquium Mathematicae
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Marinari, Maria Grazia, Ramella, Luciana (2006)
Beiträge zur Algebra und Geometrie
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Jarnicki, Witold, O'Carroll, Liam, Winiarski, Tadeusz (2001)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Haim Judah, Amiran Lior, Ireneusz Recław (1997)
Colloquium Mathematicae
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István Juhász, Lajos Soukup, Zoltán Szentmiklóssy (1996)
Commentationes Mathematicae Universitatis Carolinae
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We show that all finite powers of a Hausdorff space do not contain uncountable weakly separated subspaces iff there is a c.c.c poset such that in is a countable union of -dimensional subspaces of countable weight. We also show that this theorem is sharp in two different senses: (i) we cannot get rid of using generic extensions, (ii) we have to consider all finite powers of .
Milan Z. Grulović, Miloš S. Kurilić (1992)
Commentationes Mathematicae Universitatis Carolinae
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We give sufficient and necessary conditions to be fulfilled by a filter and an ideal in order that the -quotient space of the -ideal product space preserves -properties () (“in the sense of the Łos theorem”). Tychonoff products, box products and ultraproducts appear as special cases of the general construction.