On forcing over \(L(\mathbb{R})\)

DOI10.1007/s00153-022-00844-4OpenAlexW4294414695MaRDI QIDQ2700828

Daniel W. Cunningham

Publication date: 27 April 2023

Published in: Archive for Mathematical Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00153-022-00844-4

zbMATH Keywords

forcinginner modelsaxiom of determinacypreserving AD

Mathematics Subject Classification ID

Inner models, including constructibility, ordinal definability, and core models (03E45) Other aspects of forcing and Boolean-valued models (03E40) Determinacy principles (03E60)

Cites Work

• Unnamed Item
• Model theory.
• The real core model and its scales
• The destruction of the axiom of determinacy by forcings on \(\mathbb{R}\) when \(\Theta\) is regular
• Two Consequences of Determinacy Consistent with Choice
• The axiom of determinacy implies dependent choices in L(R)

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