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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Graphs of measurable functions

Author: J. J. Buckley
Journal: Proc. Amer. Math. Soc. 44 (1974), 78-80
MSC: Primary 28A20
MathSciNet review: 0335728
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Abstract: Necessary and sufficient conditions are given for the measurability of a function in terms of its graph.

References [Enhancements On Off] (What's this?)

  • [1] Robert J. Aumann, Integrals of set-valued functions, J. Math. Anal. Appl. 12 (1965), 1–12. MR 0185073
  • [2] Paul R. Halmos, Measure Theory, D. Van Nostrand Company, Inc., New York, N. Y., 1950. MR 0033869
  • [3] K. Kuratowski, Topology. Vol. I, New edition, revised and augmented. Translated from the French by J. Jaworowski, Academic Press, New York-London; Państwowe Wydawnictwo Naukowe, Warsaw, 1966. MR 0217751

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Keywords: Measurable sets, measurable functions, Borel measurable, Lebesgue measurable, analytic sets
Article copyright: © Copyright 1974 American Mathematical Society