Some applications of extensions of ZF set theory

zbMath0625.03032MaRDI QIDQ579248

Jianyong Qiao, Sumit K. Garg

Publication date: 1985

Published in: Southeast Asian Bulletin of Mathematics (Search for Journal in Brave)

zbMATH Keywords

surveynon-measurable setsLebesgue measurability\(V=L\)extensions of Zermelo-Fraenkel set theoryinaccessible cardinalsincomparable degrees of unsolvability above a given degreeMartin's Axiomordinal recursion theoryWhitehead's Problem in group theory

Mathematics Subject Classification ID

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) Continuum hypothesis and Martin's axiom (03E50) Other combinatorial set theory (03E05) Abelian groups (20K99) Computability and recursion theory on ordinals, admissible sets, etc. (03D60)

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