The axiom of determinacy implies dependent choices in L(R)

DOI10.2307/2274099zbMath0584.03037OpenAlexW2169176158WikidataQ114589048 ScholiaQ114589048MaRDI QIDQ3708796

Alexander S. Kechris

Publication date: 1984

Published in: Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://authors.library.caltech.edu/38675/

zbMATH Keywords

sharpinner modelinfinite game

Mathematics Subject Classification ID

Consistency and independence results (03E35) Determinacy principles (03E60)

Related Items (20)

Infinite populations, choice and determinacy ⋮ Model theory under the axiom of determinateness ⋮ Determinacy of Banach games ⋮ The real core model and its scales ⋮ The axiom of determinacy and the modern development of descriptive set theory ⋮ The consistency strength of projective absoluteness ⋮ Shadows of the axiom of choice in the universe \(L(\mathbb {R})\) ⋮ Souslin quasi-orders and bi-embeddability of uncountable structures ⋮ Set theory and the analyst ⋮ THE CONSISTENCY STRENGTH OF LONG PROJECTIVE DETERMINACY ⋮ The axiom of determinacy implies dependent choice in mice ⋮ SOME CONSEQUENCES OF AND ⋮ Almost Everywhere Behavior of Functions According to Partition Measures ⋮ Almost disjoint families under determinacy ⋮ On forcing over \(L(\mathbb{R})\) ⋮ AD and patterns of singular cardinals below Θ ⋮ \(\mathbf{L}(\mathbb{R})\) with determinacy satisfies the Suslin hypothesis ⋮ An introduction to combinatorics of determinacy ⋮ The calculus of partition sequences, changing cofinalities, and a question of Woodin ⋮ Is there a set of reals not in \(K(\mathbb{R})\)?

Cites Work

• Unnamed Item
• Descriptive set theory
• The extent of definable scales
• The axiom of determinateness and reduction principles in the analytical hierarchy

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