Collapsing of cardinals in generalized Cohen's forcing
Miroslav Repický (1988)
Acta Universitatis Carolinae. Mathematica et Physica
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Miroslav Repický (1988)
Acta Universitatis Carolinae. Mathematica et Physica
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Miroslav Repický (1987)
Acta Universitatis Carolinae. Mathematica et Physica
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Alan Taylor (1980)
Fundamenta Mathematicae
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Andrzej Pelc (1981)
Fundamenta Mathematicae
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Rafał Filipów, Nikodem Mrożek, Ireneusz Recław, Piotr Szuca (2013)
Commentationes Mathematicae Universitatis Carolinae
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We show that the ideal of nowhere dense subsets of rationals cannot be extended to an analytic P-ideal, ideal nor maximal P-ideal. We also consider a problem of extendability to a non-meager P-ideals (in particular, to maximal P-ideals).
Piotr Kalemba (2015)
Open Mathematics
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The ideal (v0) is known in the literature and is naturally linked to the structure [ω]ω. We consider some natural counterpart of the ideal (v0) related in an analogous way to the structure Dense(ℚ) and investigate its combinatorial properties. By the use of the notion of ideal type we prove that under CH this ideal is isomorphic to (v0).
Stanley Wagon (1980)
Fundamenta Mathematicae
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