ABSTRACT
Although many earlier results generalize as noted to (X, σ (X), μ), this book has so far largely focused on the development of Lebesgue measure on N, with particular emphasis on the Lebesgue measure space (ℝ , M L(ℝ), m) and the Borel measure space (ℝ, B (ℝ), m). What characterized Lebesgue measure m was that for a given interval {a, b}, this notation implying that this interval is open, closed, or half-open, that Lebesgue measure obtained: https://www.w3.org/1998/Math/MathML"> m ( { a , b } ) = b − a . https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003257745/45ddd753-ce5a-45dd-beae-26c820031287/content/math5_93_1_B.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/>
