Book:Paul R. Halmos/Lectures on Boolean Algebras

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Paul R. Halmos: Lectures on Boolean Algebras

Published $1963$, 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