Shadows of the axiom of choice in the universe \(L(\mathbb {R})\)

DOI10.1007/s00153-017-0596-xzbMath1497.03058OpenAlexW2766275162WikidataQ114018309 ScholiaQ114018309MaRDI QIDQ1661679

Jan Mycielski, Grzegorz Tomkowicz

Publication date: 16 August 2018

Published in: Archive for Mathematical Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00153-017-0596-x

zbMATH Keywords

axiom of determinacyMarczewski measuremodel \(L({\mathbb {R}})\)Ruziewicz's problem

Mathematics Subject Classification ID

Descriptive set theory (03E15) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Consistency and independence results (03E35) Free nonabelian groups (20E05) Other combinatorial set theory (03E05) Euclidean geometries (general) and generalizations (51M05) Axiom of choice and related propositions (03E25) Determinacy principles (03E60)

Related Items (4)

Set theory and the analyst ⋮ Some remarks on the Steinhaus property for invariant extensions of the Lebesgue measure ⋮ On the equivalence of sets of equal Haar measures by countable decomposition ⋮ Variants on the Berz sublinearity theorem

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