On saturated sets of ideals and Ulam's problem
Alan Taylor (1980)
Fundamenta Mathematicae
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Displaying similar documents to “Small sets in convex geometry and formal independence over ZFC.”
On saturated sets of ideals and Ulam's problem
The structure of precipitous ideals
Stanley Wagon (1980)
Fundamenta Mathematicae
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On families of σ-complete ideals
Adam Krawczyk, Andrzej Pelc (1980)
Fundamenta Mathematicae
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On saturated ideals and
C. Johnson (1988)
Fundamenta Mathematicae
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An m-convex B₀-algebra with all left but not all right ideals closed
W. Żelazko (2006)
Colloquium Mathematicae
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We construct an example as announced in the title. We also indicate all right, left and two-sided ideals in this example.
-ideals and -gaps in the Boolean algebras Ρ(ω)/I.
Krzysztof Mazur (1991)
Fundamenta Mathematicae
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Ideals on the real line and Ulam's problem
Andrzej Pelc (1981)
Fundamenta Mathematicae
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Collapsing of cardinals in generalized Cohen's forcing
Miroslav Repický (1988)
Acta Universitatis Carolinae. Mathematica et Physica
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Ideal version of Ramsey's theorem
Rafał Filipów, Nikodem Mrożek, Ireneusz Recław, Piotr Szuca (2011)
Czechoslovak Mathematical Journal
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We consider various forms of Ramsey's theorem, the monotone subsequence theorem and the Bolzano-Weierstrass theorem which are connected with ideals of subsets of natural numbers. We characterize ideals with properties considered. We show that, in a sense, Ramsey's theorem, the monotone subsequence theorem and the Bolzano-Weierstrass theorem characterize the same class of ideals. We use our results to show some versions of density Ramsey's theorem (these are similar to generalizations...