Applying generic coding with help to uniformizations

DOI10.1016/j.apal.2023.103244OpenAlexW4313649963MaRDI QIDQ2683784

Dan Hathaway

Publication date: 15 February 2023

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.09513

zbMATH Keywords

forcingaxiom of choicedeterminacydesciptive set theory

Mathematics Subject Classification ID

Descriptive set theory (03E15) Consistency and independence results (03E35) Inner models, including constructibility, ordinal definability, and core models (03E45) Axiom of choice and related propositions (03E25) Other aspects of forcing and Boolean-valued models (03E40) Determinacy principles (03E60)

Cites Work

• Ramsey ultrafilters and countable-to-one uniformization
• Disjoint Borel functions
• Descriptive set theory
• Projectively well-ordered inner models
• Cardinality of wellordered disjoint unions of quotients of smooth equivalence relations
• Mapping a set of reals onto the reals
• Combinatorial Cardinal Characteristics of the Continuum
• An Outline of Inner Model Theory
• Semiselective coideals
• GENERIC CODING WITH HELP AND AMALGAMATION FAILURE
• IN SEARCH OF ULTIMATE-LTHE 19TH MIDRASHA MATHEMATICAE LECTURES
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