Book:Paul R. Halmos/Lectures on Boolean Algebras
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Paul R. Halmos: Lectures on Boolean Algebras
Published $\text {1963}$, D. Van Nostrand Company, Inc.
Subject Matter
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 $\sigma$-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 $\sigma$-spaces
- 23 The representation of $\sigma$-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
- Index