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.


Borel Measure Borel Subset Finite Measure Compact Hausdorff Space Regular Borel Measure 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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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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