Lectures on Boolean Algebras

Lectures on Boolean Algebras by Steven Givant, P.R. Halmos.

IN 1959 I lectured on Boolean algebras at the University of Chicago. A mimeographed version of the notes on which the lectures were based circulated for about two years; this volume contains those notes, corrected and revised. Most of the corrections were suggested by Peter Crawley. To judge by his...

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Bibliographic Details
Main Authors: Givant, Steven (Author), Halmos, P.R (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: New York, NY : Springer New York : Imprint: Springer, 1974.
Edition:1st ed. 1974.
Series:Undergraduate Texts in Mathematics,
Springer eBook Collection.
Subjects:
Mathematical logic.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • 1 Boolean rings
  • 2 Boolean algebras
  • 3 Fields of sets
  • 4 Regular open sets
  • 5 Elementary relations
  • 6 Order
  • 7 Infinite operations
  • 8 Subalgebras
  • 9 Homomorphisms
  • 10 Free algebras
  • 11 Ideals and filters
  • 12 The homomorphism theorem
  • 13 Boolean ?-algebras
  • 14 The countable chain condition
  • 15 Measure algebras
  • 16 Atoms
  • 17 Boolean spaces
  • 18 The representation theorem
  • 19 Duality for ideals
  • 20 Duality for homomorphisms
  • 21 Completion
  • 22 Boolean ?-spaces
  • 23 The representation of ?-algebras
  • 24 Boolean measure spaces
  • 25 Incomplete algebras
  • 26 Products of algebras
  • 27 Sums of algebras
  • 28 Isomorphisms of factors
  • 29 Isomorphisms of countable factors
  • 30 Retracts
  • 31 Projective algebras
  • 32 Injective algebras
  • Epilogue.

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