A positive function with vanishing Lebesgue integral in Zermelo-Fraenkel set theory
arXiv:1705.00493
Abstract
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
arXiv comment6 pages, to appear in Real Analysis Exchange