Handbook of Set Theory

DOI10.1007/978-1-4020-5764-9zbMath1197.03001OpenAlexW98969548WikidataQ56686694 ScholiaQ56686694MaRDI QIDQ3182418

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Publication date: 8 October 2009

Full work available at URL: https://doi.org/10.1007/978-1-4020-5764-9

zbMATH Keywords

cardinal characteristics of the continuumiterated forcinglarge cardinalsBorel equivalence relationsidealsconstructibilitypcf theoryclass forcingdeterminacycore modelfine structurecardinal arithmeticcovering lemmacoherent sequencesPrikry forcingproper forcingWoodin cardinalspartition relationsstationary setselementary embeddingsinner model theorysuccessors of singular cardinalsinvariants of measure and category

Mathematics Subject Classification ID

Descriptive set theory (03E15) Collections of articles of miscellaneous specific interest (00B15) Consistency and independence results (03E35) Inner models, including constructibility, ordinal definability, and core models (03E45) Large cardinals (03E55) Other combinatorial set theory (03E05) Cardinal characteristics of the continuum (03E17) Partition relations (03E02) Ordinal and cardinal numbers (03E10) Other aspects of forcing and Boolean-valued models (03E40) Ordered sets and their cofinalities; pcf theory (03E04) General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to mathematical logic and foundations (03-00) Determinacy principles (03E60) Set theory (03Exx)

Related Items (12)

Set theory and the analyst ⋮ More definable combinatorics around the first and second uncountable cardinals ⋮ Foundational implications of the inner model hypothesis ⋮ Guessing models and generalized Laver diamond ⋮ Kunen and set theory ⋮ THE CLUB GUESSING IDEAL: COMMENTARY ON A THEOREM OF GITIK AND SHELAH ⋮ A uniform ultrafilter over a singular cardinal with a singular character ⋮ I0 and rank-into-rank axioms ⋮ Cardinalities of Residue Fields of Noetherian Integral Domains ⋮ A RECONSTRUCTION OF STEEL’S MULTIVERSE PROJECT ⋮ Topological Interpretations of Provability Logic ⋮ Representability and compactness for pseudopowers

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