1. Set Systems

  1. Eric M. Vestrup

Published Online: 27 MAY 2008

DOI: 10.1002/9780470317112.ch1

The Theory of Measures and Integration

The Theory of Measures and Integration

How to Cite

Vestrup, E. M. (2003) Set Systems, in The Theory of Measures and Integration, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9780470317112.ch1

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:

  • set systems;
  • sets of positive integers;
  • right semiclosed intervals;
  • left semiclosed intervals;
  • k-dimensional euclidean space

Summary

The prelims comprise:

  • π-Systems, λ-Systems, and Semirings

  • Fields

  • σ-Fields

  • The Borel σ-Field

  • The k-Dimensional Borel σ-Field

  • σ-Fields: Construction and Cardinality

  • A Class of Ethereal Borel Sets