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2017 A Positive Function with Vanishing Lebesgue Integral in Zermelo-Fraenkel Set Theory
Vladimir Kanovei, Mikhail Katz
Real Anal. Exchange 42(2): 385-390 (2017). DOI: 10.14321/realanalexch.42.2.0385

Abstract

Can a positive function on \(\mathbb{R}\) have zero Lebesgue integral? It depends on how much choice one has.

Citation

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Vladimir Kanovei. Mikhail Katz. "A Positive Function with Vanishing Lebesgue Integral in Zermelo-Fraenkel Set Theory." Real Anal. Exchange 42 (2) 385 - 390, 2017. https://doi.org/10.14321/realanalexch.42.2.0385

Information

Published: 2017
First available in Project Euclid: 10 May 2018

zbMATH: 06870335
MathSciNet: MR3721807
Digital Object Identifier: 10.14321/realanalexch.42.2.0385

Subjects:
Primary: 03E25
Secondary: 28A25

Rights: Copyright © 2017 Michigan State University Press

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Vol.42 • No. 2 • 2017
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