How good is Lebesgue measure?

DOI10.1007/BF03023824zbMath0679.28001MaRDI QIDQ1822648

Krzysztof Chris Ciesielski

Publication date: 1989

Published in: The Mathematical Intelligencer (Search for Journal in Brave)

zbMATH Keywords

invariant measureexpository paperBanach extensionextension of Lebesgue measurefinitely additive extensionTarski's problem

Mathematics Subject Classification ID

Length, area, volume, other geometric measure theory (28A75) Research exposition (monographs, survey articles) pertaining to measure and integration (28-02)

Related Items

Some remarks on the Steinhaus property for invariant extensions of the Lebesgue measure, A geometric principle of indifference, Isometrically Invariant Extensions of Lebesgue Measure, Extensions of Isometrically Invariant Measures on Euclidean Spaces

Cites Work

• A mathematical proof of S. Shelah's theorem on the measure problem and related results
• A model of set-theory in which every set of reals is Lebesgue measurable
• Algebraically Invariant Extensions of σ-Finite Measures on Euclidean Space
• Extensions of invariant measures on Euclidean spaces
• Invariant extensions of the Lebesgue measure
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