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