Why Solovay real produces Cohen real

DOI10.2307/2273908zbMath0622.03036OpenAlexW2060439942MaRDI QIDQ3758826

Janusz Pawlikowski

Publication date: 1986

Published in: Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2273908

zbMATH Keywords

categorymeasureCohen algebramodels of set theoryCohen realcardinal indicesSolovay algebraSolovay real

Mathematics Subject Classification ID

Descriptive set theory (03E15) Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Consistency and independence results (03E35)

Related Items (10)

Combinatorial properties of classical forcing notions ⋮ The Generalized Borel Conjecture and Strongly Proper Orders ⋮ No random reals in countable support iterations ⋮ Generic constructions of small sets of reals ⋮ On ideals of subsets of the plane and on Cohen reals ⋮ Eventually different functions and inaccessible cardinals ⋮ Perfect sets of random reals ⋮ Combinatorial properties of Hechler forcing ⋮ Summable gaps ⋮ Controlling classical cardinal characteristics while collapsing cardinals

Cites Work

• Unnamed Item
• The strength of measurability hypotheses
• A model of set-theory in which every set of reals is Lebesgue measurable
• Measure and category in effective descriptive set theory

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