Chapter 2 Fields, Borel Fields, and Measures

  1. Leonard F. Richardson

Published Online: 29 JUN 2009

DOI: 10.1002/9780470501153.ch2

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 2 Fields, Borel Fields, and Measures, in Measure and Integration: A Concise Introduction to Real Ananysis, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9780470501153.ch2

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:

  • fields;
  • Borel fields;
  • measures;
  • monotone classes;
  • additive measures;
  • sets;
  • Caratheodory outer measure;
  • E. Hopf's extension theorem

Summary

This chapter contains sections titled:

  • Fields, Monotone Classes, and Borel Fields

  • Additive Measures

  • Carathéodory Outer Measure

  • E. Hopf's Extension Theorem