Lectures on Boolean Algebras

Lectures on Boolean Algebras

by Steven Givant, P.R. Halmos

Paperback(Softcover reprint of the original 1st ed. 1974)

$84.99
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Product Details

ISBN-13: 9780387900940
Publisher: Springer New York
Publication date: 01/01/1974
Series: Undergraduate Texts in Mathematics
Edition description: Softcover reprint of the original 1st ed. 1974
Pages: 148
Product dimensions: 5.98(w) x 9.02(h) x 0.01(d)

About the Author


Paul R. Halmos (1916–2006) was a prominent American mathematician who taught at the University of Chicago, the University of Michigan, and other schools and made significant contributions to several areas of mathematics, including mathematical logic, ergodic theory, functional analysis, and probability theory. His other Dover books are Algebraic Logic, Finite-Dimensional Vector Spaces, Introduction to Hilbert Space and the Theory of Spectral Multiplicity, Lectures on Ergodic Theory, and Naive Set Theory.

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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