How good is Lebesgue measure?
type: Item
instance of: scholarly article
title: How good is Lebesgue measure?
zbMATH Open document ID: 0679.28001
DOI: 10.1007/BF03023824
author: Krzysztof Chris Ciesielski
published in: The Mathematical Intelligencer
publication date: 1989-01-01T00:00:00Z
review text: 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)].)
Mathematics Subject Classification ID: 28-02
Mathematics Subject Classification ID: 28A75
zbMATH DE Number: 4112927
zbMATH Keywords: invariant measure
zbMATH Keywords: finitely additive extension
zbMATH Keywords: Banach extension
zbMATH Keywords: Tarski's problem
zbMATH Keywords: expository paper
zbMATH Keywords: extension of Lebesgue measure
reviewed by: Ákos Császár
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4112927