3. Extensions of Measures

  1. Eric M. Vestrup

Published Online: 27 MAY 2008

DOI: 10.1002/9780470317112.ch3

The Theory of Measures and Integration

The Theory of Measures and Integration

How to Cite

Vestrup, E. M. (2003) Extensions of Measures, in The Theory of Measures and Integration, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9780470317112.ch3

Publication History

  1. Published Online: 27 MAY 2008
  2. Published Print: 4 SEP 2003

ISBN Information

Print ISBN: 9780471249771

Online ISBN: 9780470317112

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Keywords:

  • k-dimensional volume;
  • problem of measure;
  • mathematical parade;
  • outer measure;
  • trivial fashion

Summary

The prelims comprise:

  • Extensions and Restrictions

  • Outer Measures

  • Caratheodory's Criterion

  • Existence of Extensions

  • The Completion Theorem

  • Approximations

  • A Correspondence Theorem

  • Uniqueness of Measures and Extensions

  • The Relationship Between σ(A) and M(μ*)

  • A Further Description of M(μ*)