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steven givant, paul halmos's introduction to boolean algebras [pdf]

Introduction to Boolean Algebras by Steven Givant, Paul Halmos

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About this book :-
Introduction to Boolean Algebras written by Steven Givant, Paul Halmos .

Book Detail :-
Title: Introduction to Boolean Algebras
Author(s): Steven Givant, Paul Halmos
Publisher: Springer
Series: Undergraduate Texts in Mathematics
Year: 2008
Pages: 589
Type: PDF
Language: Englsih
ISBN: 0387402934,9780387402932
Country: US
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About Author :-
The author Steven Givant is Professor of Mills College, Department of Mathematics, Oakland, US.

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Book Contents :-
Introduction to Boolean Algebras written by Steven Givant, Paul Halmos cover the following topics.
1. Boolean Rings
2. Boolean Algebras
3. Boolean Algebras Versus Rings
4. The Principle of Duality
5. Fields of Sets
6. Elementary Relations
7. Order
8. Infinite Operations
9. Topology
10. Regular Open Sets
11. Subalgebras
12. Homomorphisms
13. Extensions of Homomorphisms
14. Atoms
15. Finite Boolean Algebras
16. Atomless Boolean Algebras
17. Congruences and Quotients
18. Indeals and Filters
19. Lattices of Ideals
20. Maximal Indeals
21. Homomorphism and Isomorphism Theorems
22. The Representaion Theorem
23. Canonical Extensions
24. Complete Homomorphisms and Complete Ideals
25. Completions
26. Products of Algebras
27. Isomorphisms of Factors
28. Free Algebras
29. Boolean σ-algebras
30. The Countable Chain Condition
31. Measure Algebras
32. Boolean Spaces
33. Continuous Functions
34. Boolean Algebras and Boolean Spaces
35. Duality for Ideals
36. Duality for Homomorphisms
37. Duality for Subalgebras
38. Duality for Completeness
39. Boolean σ-spaces
40. The Representation of σ-algebras
41. Boolean Measure Spaces
42. Incomplete Algebras
43. Duality for Products
44. Sums of Algebras
45. Isomorphisms of Countable Factors
A Set Theory
B Hints to Selected Exercises

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