Generic extensions of models of ZFC

DOI10.14712/1213-7243.2015.209zbMath1463.03021OpenAlexW2769208842MaRDI QIDQ4602509

Lev Bukovský

Publication date: 9 February 2018

Published in: Commentationes Mathematicae Universitatis Carolinae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14712/1213-7243.2015.209

zbMATH Keywords

inner modelBoolean valued modelBoolean ultrapower\(\kappa\) approximation condition\(\kappa\)-boundedness condition\(\kappa\)-C.C. generic extension\(\kappa\)-generic extensionextension of an inner model

Mathematics Subject Classification ID

Consistency and independence results (03E35) Inner models, including constructibility, ordinal definability, and core models (03E45) Other aspects of forcing and Boolean-valued models (03E40)

Related Items (1)

Choiceless chain conditions

Cites Work

• The theory of semisets
• Concerning measures on Boolean algebras
• Certain very large cardinals are not created in small forcing extensions
• A model of set-theory in which every set of reals is Lebesgue measurable
• On the Set-Generic Multiverse
• Characterization of generic extensions of models of set theory
• The real line in elementary submodels of set theory
• Set Theory
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