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Lebesgue Measure

  • Sterling K. Berberian
Part of the Universitext book series (UTX)

Abstract

One of the aims of the Lebesgue theory is to assign to each subset A of ℝ an element of [0, 1+∞], to be thought of as the ‘size’ of A, in such a way that the size of a bounded interval is its length, and the function

Keywords

Lebesgue Measure Measure Space Pairwise Disjoint Open Interval Outer Measure 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1999

Authors and Affiliations

  • Sterling K. Berberian
    • 1
  1. 1.Department of MathematicsUniversity of Texas at AustinAustinUSA

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