Boolean Algebras : Reihe: Reelle Funktionen (Second Edition)

There are two aspects to the theory of Boolean algebras; the algebraic and the set-theoretical. A Boolean algebra can be considered as a special kind of algebraic ring, or as a generalization of the set-theoretical notion of a field of sets. Fundamental theorems in both of these directions are due t...

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Main Author: Sikorski, Roman
Corporate Author: SpringerLink (Online service)
Format: eBook
Published: Berlin, Heidelberg Springer Berlin Heidelberg 1960, 1960
Edition:2nd ed. 1960
Series:Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge, A Series of Modern Surveys in Mathematics
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Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • Terminology and notation
  • I. Finite joins and meets
  • II. Infiinite joins and meets
  • Append
  • § 39. Relation to other algebras
  • § 40. Applications to mathematical logic. Classical calculi
  • § 41. Topology in Boolean algebras. Applications to non-classical logic
  • § 42. Applications to measure theory
  • § 43. Measurable functions and real homomorphisms
  • § 44. Measurable functions. Reduction to continuous functions
  • § 45. Applications to functional analysis
  • § 46. Applications to foundations of the theory of probability
  • § 47. Problems of effectivity
  • List of symbols
  • Author Index