Measure and topology

  • Arlen Brown
  • Carl Pearcy
Part of the Graduate Texts in Mathematics book series (GTM, volume 55)


If X is an arbitrary topological space, then, as defined in Chapter 6, the σ-ring B of Borel sets in X is the σ-ring generated by the open [closed] subsets of X. There are important cases, however, in which B is generated by smaller collections of sets satisfying additional conditions.




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Copyright information

© Springer-Verlag, New York Inc. 1977

Authors and Affiliations

  • Arlen Brown
    • 1
  • Carl Pearcy
    • 2
  1. 1.Department of MathematicsIndiana UniversityBloomingtonUSA
  2. 2.Department of MathematicsUniversity of MichiganAnn ArborUSA

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