Descriptive set theory and definable forcing

DOI10.1090/memo/0793zbMath1037.03042OpenAlexW1970843323WikidataQ115969716 ScholiaQ115969716MaRDI QIDQ4458917

Jindřich Zapletal

Publication date: 14 March 2004

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/memo/0793

zbMATH Keywords

interpolationdualitypreservationabsolutenessdescriptive set theorydefinable forcingstrong large cardinal axiomstame cardinal invariants

Mathematics Subject Classification ID

Descriptive set theory (03E15) Research exposition (monographs, survey articles) pertaining to mathematical logic and foundations (03-02) Large cardinals (03E55) Cardinal characteristics of the continuum (03E17) Other aspects of forcing and Boolean-valued models (03E40)

Related Items (32)

\(\sigma \)-continuity and related forcings ⋮ No Tukey reduction of Lebesgue null to Silver null sets ⋮ Splitting families and forcing ⋮ Canonization of smooth equivalence relations on infinite-dimensional \(\mathsf{E}_0\)-large products ⋮ Isomorphisms of quotients of FDD-algebras ⋮ Cardinal characteristics and countable Borel equivalence relations ⋮ PARTITION FORCING AND INDEPENDENT FAMILIES ⋮ Forcing with copies of the Rado and Henson graphs ⋮ EQUIVALENCE RELATIONS WHICH ARE BOREL SOMEWHERE ⋮ Laver trees in the generalized Baire space ⋮ Rado’s Conjecture and its Baire version ⋮ Van Douwen's diagram for dense sets of rationals ⋮ Forcing absoluteness and regularity properties ⋮ Polarized partitions on the second level of the projective hierarchy ⋮ Universal sets for ideals ⋮ An improper arithmetically closed Borel subalgebra of \(\mathcal P(\omega)\) mod FIN ⋮ Trivial automorphisms ⋮ Forcing with quotients ⋮ An unpublished theorem of Solovay on OD partitions of reals into two non-OD parts, revisited ⋮ Full-splitting Miller trees and infinitely often equal reals ⋮ Forcing indestructibility of MAD families ⋮ Four and more ⋮ Decomposing Borel functions and structure at finite levels of the Baire hierarchy ⋮ On Borel maps, calibrated ${\ensuremath {\sigma }}$-ideals, and homogeneity ⋮ Automorphisms of $\mathcal P(\lambda )/\mathcal I_\kappa $ ⋮ Low-distortion embeddings of infinite metric spaces into the real line ⋮ Hypergraphs and proper forcing ⋮ \(\sigma\)-continuous functions and related cardinal characteristics of the continuum ⋮ Definable maximal independent families ⋮ Forcing, games and families of closed sets ⋮ Keeping the covering number of the null ideal small ⋮ The pointwise view of determinacy: arboreal forcings, measurability, and weak measurability

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