Perfect-set forcing for uncountable cardinals
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Publication:3900055
DOI10.1016/0003-4843(80)90021-2zbMath0453.03056OpenAlexW1969653411MaRDI QIDQ3900055
Publication date: 1980
Published in: Annals of Mathematical Logic (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0003-4843(80)90021-2
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A lifting argument for the generalized Grigorieff forcing ⋮ HIGHER INDEPENDENCE ⋮ Minimalα-hyperdegrees ⋮ Inadmissible forcing ⋮ Cichoń's diagram for uncountable cardinals ⋮ Easton's theorem in the presence of Woodin cardinals ⋮ More about \(\lambda \)-support iterations of \((<\lambda)\)-complete forcing notions ⋮ Non-trivial automorphisms of \({\mathcal {P}}({\mathbb {N}})/[{\mathbb {N}}^{<\aleph _0}\) from variants of small dominating number] ⋮ Indestructibility of some compactness principles over models of \(\mathsf{PFA} \) ⋮ Baire numbers, uncountable Cohen sets and perfect-set forcing ⋮ A definable failure of the singular cardinal hypothesis ⋮ INDESTRUCTIBILITY OF THE TREE PROPERTY ⋮ Strong independence and its spectrum ⋮ Perfect tree forcings for singular cardinals ⋮ PERFECT SUBSETS OF GENERALIZED BAIRE SPACES AND LONG GAMES ⋮ Global singularization and the failure of SCH ⋮ Independence of Boolean algebras and forcing. ⋮ Saturation Properties of Ideals in Generic Extensions. I ⋮ κ-stationary subsets of , infinitary games, and distributive laws in Boolean algebras ⋮ DEFINABLE MINIMAL COLLAPSE FUNCTIONS AT ARBITRARY PROJECTIVE LEVELS ⋮ Easton's theorem and large cardinals ⋮ A Laver-like indestructibility for hypermeasurable cardinals ⋮ The higher Cichoń diagram ⋮ The tree property at ℵω+2 ⋮ Some recent developments in higher recursion theory ⋮ Simple complete Boolean algebras ⋮ Small universal families for graphs omitting cliques without GCH ⋮ Easton's theorem and large cardinals from the optimal hypothesis ⋮ UNCOUNTABLE TREES AND COHEN -REALS ⋮ JOINT DIAMONDS AND LAVER DIAMONDS ⋮ Sheva-sheva-sheva: large creatures ⋮ Regularity properties on the generalized reals ⋮ An inner model for global domination ⋮ The tree property at the \(\aleph_{2 n}\)'s and the failure of SCH at \(\aleph_\omega\) ⋮ Perfect trees and elementary embeddings ⋮ Finite combinations of Baire numbers ⋮ The last forcing standing with diamonds ⋮ HIGHER MILLER FORCING MAY COLLAPSE CARDINALS
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