Perfect-set properties in \(L(\mathbb{R})[U]\)

DOI10.1006/aima.1998.1752zbMath0929.03050OpenAlexW2057466172MaRDI QIDQ1273835

Carlos Augusto Di Prisco, Stevo Todorčević

Publication date: 14 September 1999

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/aima.1998.1752

zbMATH Keywords

selective ultrafilterRamsey propertypartition propertyBaire propertySolovay modelgeneric extensionLebesgue measurableBaire Spaceconstructible closure of the realsparameterized partition calculusperfect-set property

Mathematics Subject Classification ID

Consistency and independence results (03E35) Inner models, including constructibility, ordinal definability, and core models (03E45) Large cardinals (03E55) Other combinatorial set theory (03E05) Partition relations (03E02)

Related Items (10)

The strength of Menger's conjecture ⋮ Souslin partitions of products of finite sets ⋮ Ramsey ultrafilters and countable-to-one uniformization ⋮ Ideals and their generic ultrafilters ⋮ HAPPY AND MAD FAMILIES INL(ℝ) ⋮ What makes the continuum ℵ₂ ⋮ Open colorings, the continuum and the second uncountable cardinal ⋮ Parameterized partition relations on the real numbers ⋮ CANONICAL MODELS FOR FRAGMENTS OF THE AXIOM OF CHOICE ⋮ CLASSES OF BARREN EXTENSIONS

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