Abstract
Linear Lebesgue measure is defined by covering sequences of intervals, and plane measure by covering sequences of rectangles. We shall now consider how these measures are related to each other. It is clear what kind of answer we should expect. In elementary calculus we learn to compute the area between the graphs of two functions f ≦ g by the formula
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© 1980 Springer-Verlag New York Inc.
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Oxtoby, J.C. (1980). Fubini’s Theorem. In: Measure and Category. Graduate Texts in Mathematics, vol 2. Springer, New York, NY. https://doi.org/10.1007/978-1-4684-9339-9_14
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DOI: https://doi.org/10.1007/978-1-4684-9339-9_14
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4684-9341-2
Online ISBN: 978-1-4684-9339-9
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