Book:Paul R. Halmos/Lectures on Boolean Algebras

Subject Matter

 * Boolean Algebras

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