Chapter 3 Lebesgue Measure

  1. Leonard F. Richardson

Published Online: 29 JUN 2009

DOI: 10.1002/9780470501153.ch3

Measure and Integration: A Concise Introduction to Real Ananysis

Measure and Integration: A Concise Introduction to Real Ananysis

How to Cite

Richardson, L. F. (2009) Chapter 3 Lebesgue Measure, in Measure and Integration: A Concise Introduction to Real Ananysis, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9780470501153.ch3

Publication History

  1. Published Online: 29 JUN 2009
  2. Published Print: 17 JUN 2009

ISBN Information

Print ISBN: 9780470259542

Online ISBN: 9780470501153

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Keywords:

  • finite interval [-N,N);
  • Lebesgue measure;
  • Borel sets;
  • measure spaces;
  • minimal completion;
  • metric space;
  • Jordan measure

Summary

This chapter contains sections titled:

  • The Finite Interval [−N, N)

  • Measurable Sets, Borel Sets, and the Real Line

  • Measure Spaces and Completions

  • Semimetric Space of Measurable Sets

  • Lebesgue Measure in ℝn

  • Jordan Measure in ℝn