Projective uniformization revisited

DOI10.1016/S0168-0072(99)00038-XzbMath0961.03041OpenAlexW2079479628MaRDI QIDQ1977487

Kai Hauser, Ralf-Dieter Schindler

Publication date: 28 May 2001

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

Full work available at URL: https://doi.org/10.1016/s0168-0072(99)00038-x

zbMATH Keywords

strong cardinalsuniformizationconsistency strengthcore modelsprojective setsVictoria Delfino problem

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) Inner models, including constructibility, ordinal definability, and core models (03E45) Large cardinals (03E55) Determinacy principles (03E60)

Related Items (7)

Models of set theory in which the separation theorem fails ⋮ Projective well-orderings of the reals ⋮ Non-uniformizable sets of second projective level with countable cross-sections in the form of Vitali classes ⋮ The full basis theorem does not imply analytic wellordering ⋮ Counterexamples to countable-section \(\varPi_2^1\) uniformization and \(\varPi_3^1\) separation ⋮ Universally Baire sets and definable well-orderings of the reals ⋮ The core model for almost linear iterations

Cites Work

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• The covering lemma up to a Woodin cardinal
• A mathematical proof of S. Shelah's theorem on the measure problem and related results
• Descriptive set theory
• The consistency strength of projective absoluteness
• The maximality of the core model
• Strong Cardinals and Sets of Reals in Lω1(ℝ)
• A minimal counterexample to universal baireness
• Strong cardinals in the core model

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