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arxiv: 1705.00493 · v1 · pith:ZED4DO4Lnew · submitted 2017-05-01 · 🧮 math.CA · math.LO

A positive function with vanishing Lebesgue integral in Zermelo-Fraenkel set theory

Vladimir Kanovei , Mikhail G. Katz This is my paper
classification 🧮 math.CA math.LO
keywords integrallebesguefunctionpositivetheorychoicedependsfeferman-levy
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Can a positive function on R have zero Lebesgue integral? It depends on how much choice one has. Keywords: Lebesgue integral; Zermelo--Fraenkel theory; Feferman-Levy model

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