Generic Families and Models of Set Theory with the Axiom of Choice

DOI10.2307/2047392zbMath0673.03042OpenAlexW4245825273MaRDI QIDQ3826548

Wojciech Guzicki, Krzysztof Chris Ciesielski

Publication date: 1989

Full work available at URL: https://doi.org/10.2307/2047392

zbMATH Keywords

minimal elementsCohen generic realscountable transitive modelsgeneric filters

Mathematics Subject Classification ID

Models of arithmetic and set theory (03C62) Axiom of choice and related propositions (03E25) Other aspects of forcing and Boolean-valued models (03E40)

Cites Work

• A model of set-theory in which every set of reals is Lebesgue measurable
• Pairwise Incompatible Generic Families
• The model of set theory generated by countably many generic reals
• Large Models of Countable Height

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