Forcings with ideals and simple forcing notions

DOI10.1007/BF02772658zbMath0686.03027MaRDI QIDQ1262306

Saharon Shelah, M. B. Gitik

Publication date: 1989

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

measuresmeasure algebraforcingdensityidealgeneric ultrapower

Mathematics Subject Classification ID

Other aspects of forcing and Boolean-valued models (03E40)

Related Items (25)

Canonical functions, non-regular ultrafilters and Ulam's problem on ω₁ ⋮ On sets not belonging to algebras ⋮ Projective forcing ⋮ On Nicely Definable Forcing Notions ⋮ On nonmeasurable unions ⋮ A transversal of full outer measure ⋮ Clubs on quasi measurable cardinals ⋮ Strong independence and its spectrum ⋮ A new proof of the Gitik-Shelah theorem ⋮ More on simple forcing notions and forcings with ideals ⋮ Induced ideals in Cohen and random extensions ⋮ Inscribing nonmeasurable sets ⋮ IDEAL PROJECTIONS AND FORCING PROJECTIONS ⋮ Properness Without Elementaricity ⋮ Theorems on sets not belonging to algebras ⋮ More on real-valued measurable cardinals and forcing with ideals ⋮ Random gaps ⋮ Cardinal Conditions for Strong Fubini Theorems ⋮ On the Gitik-Shelah theorem ⋮ Skew Products of Ideals ⋮ Universal Bayes consistency in metric spaces ⋮ An \(\aleph_1\)-dense ideal on \(\aleph_2\) ⋮ Limitations on representing $\mathcal {P}(X)$ as a union of proper subalgebras ⋮ Families of sets not belonging to algebras and combinatorics of finite sets of ultrafilters ⋮ Large ideals on small cardinals

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• On sets not belonging to algebras of subsets
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• On the Existence of Nonregular Ultrafilters and the Cardinality of Ultrapowers
• Cardinal preserving ideals
• Some Remarks on Set Theory

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