How good is lebesgue measure?
Copyright policy )How good is lebesgue measure?
A beautiful expository paper on positive and negative results concerning the extension of Lebesgue measure in \(R^ n\) and their relation to set theoretical hypotheses. (Reviewer's remark: The Tarski circle-squaring problem, mentioned as an open one, has been solved meanwhile by \textit{M. Laczkovich} [J. Reine Angew. Math. 404,77-117 (1990)].)
- University of Warsaw Poland
- University of Louisville United States
Length, area, volume, other geometric measure theory, Banach extension, expository paper, invariant measure, Tarski's problem, finitely additive extension, Research exposition (monographs, survey articles) pertaining to measure and integration, extension of Lebesgue measure
Length, area, volume, other geometric measure theory, Banach extension, expository paper, invariant measure, Tarski's problem, finitely additive extension, Research exposition (monographs, survey articles) pertaining to measure and integration, extension of Lebesgue measure
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