Abstract
Recall the example of a non–integrable function given in Section II.8. It was (the indicator function of) a bounded set B. The reason this function is not integrable clearly is its wild behaviour: it jumps at every point.
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References
Halmos. P. Measure Theory, Van Nostrand, New York, 1950.
Royden, H. L. Real Analysis, 2nd edition, Macmillan, NewYork 1968.
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© 1998 Birkhäuser Verlag
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Bichteler, K. (1998). Measurability. In: Integration - A Functional Approach. Modern Birkhäuser Classics. Springer, Basel. https://doi.org/10.1007/978-3-0348-0055-6_3
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DOI: https://doi.org/10.1007/978-3-0348-0055-6_3
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