scientific article

zbMath0735.03023MaRDI QIDQ3977660

Boban Velickovic

Publication date: 25 June 1992

Full work available at URL: http://www.numdam.org/item?id=CM_1991__79_3_279_0

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zbMATH Keywords

consistencyMASacks forcingccc posetsperfect treesgeneric real\(s_ 0\)-setsccc finite-support iterated forcinginternal forcing axiomsminimal realsperfect poset

Mathematics Subject Classification ID

Consistency and independence results (03E35) Other aspects of forcing and Boolean-valued models (03E40)

Related Items (13)

Uniformization problems and the cofinality of the infinite symmetric group ⋮ ccc forcing and splitting reals ⋮ No Tukey reduction of Lebesgue null to Silver null sets ⋮ Generic constructions of small sets of reals ⋮ Different cofinalities of tree ideals ⋮ A non-implication between fragments of Martin's axiom related to a property which comes from Aronszajn trees ⋮ The hyper-weak distributive law and a related game in Boolean algebras ⋮ Sacks forcing, Laver forcing, and Martin's axiom ⋮ A Sacks amoeba preserving distributivity of $\mathcal {P}(\omega )/\mathrm {fin}$ ⋮ Towers on Trees ⋮ Additivity of the two-dimensional Miller ideal ⋮ Borel Conjecture, dual Borel Conjecture, and other variants of the Borel Conjecture ⋮ Maharam algebras

Cites Work

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• Set theory. An introduction to independence proofs
• Proper forcing
• Forcing axioms and stationary sets
• Mapping a set of reals onto the reals
• [https://portal.mardi4nfdi.de/wiki/Publication:3328537 A Minimal Model for � CH: Iteration of Jensen's Reals]
• Combinatorics on ideals and forcing with trees
• Iterated perfect-set forcing
• Generalized Iteration of Forcing

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