The countable chain condition

  • Paul R. Halmos
Part of the Undergraduate Texts in Mathematics book series (UTM)


The algebraic behavior of the regular open algebra of a topological space X reflects, at least in part, the topological properties of X. One particular topological property of X, namely the possession of a countable base, has important algebraic repercussions, which we now proceed to study.


Boolean Algebra Topological Property Ordinal Number Countable Subset Countable Base 
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Copyright information

© Springer-Verlag New York Inc. 1974

Authors and Affiliations

  • Paul R. Halmos
    • 1
  1. 1.Department of MathematicsIndiana UniversityBloomingtonUSA

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