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Givant, Steven

Introduction to Boolean Algebras

Givant, Steven - Introduction to Boolean Algebras, ebook

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Ebook, PDF with Adobe DRM
ISBN: 9780387684369
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Table of contents

2. Boolean Rings
Steven Givant

3. Boolean Algebras
Steven Givant

4. Boolean Algebras Versus Rings
Steven Givant

5. The Principle of Duality
Steven Givant

6. Fields of Sets
Steven Givant

7. Elementary Relations
Steven Givant

8. Order
Steven Givant

9. Infinite Operations
Steven Givant

10. Topology
Steven Givant

11. Regular Open Sets
Steven Givant

12. Subalgebras
Steven Givant

13. Homomorphisms
Steven Givant

14. Extensions of Homomorphisms
Steven Givant

15. Atoms
Steven Givant

16. Finite Boolean Algebras
Steven Givant

17. Atomless Boolean Algebras
Steven Givant

18. Congruences and Quotients
Steven Givant

19. Ideals and Filters
Steven Givant

20. Lattices of Ideals
Steven Givant

21. Maximal Ideals
Steven Givant

22. Homomorphism and Isomorphism Theorems
Steven Givant

23. The Representation Theorem
Steven Givant

24. Canonical Extensions
Steven Givant

25. Complete Homomorphisms and Complete Ideals
Steven Givant

26. Completions
Steven Givant

27. Products of Algebras
Steven Givant

28. Isomorphisms of Factors
Steven Givant

29. Free Algebras
Steven Givant

30. Boolean s-algebras
Steven Givant

31. The Countable Chain Condition
Steven Givant

32. Measure Algebras
Steven Givant

33. Boolean Spaces
Steven Givant

34. Continuous Functions
Steven Givant

35. Boolean Algebras and Boolean Spaces
Steven Givant

36. Duality for Ideals
Steven Givant

37. Duality for Homomorphisms
Steven Givant

38. Duality for Subalgebras
Steven Givant

39. Duality for Completeness
Steven Givant

40. Boolean s-spaces
Steven Givant

41. The Representation of s-algebras
Steven Givant

42. Boolean Measure Spaces
Steven Givant

43. Incomplete Algebras
Steven Givant

44. Duality for Products
Steven Givant

45. Sums of Algebras
Steven Givant

46. Isomorphisms of Countable Factors
Steven Givant

Keywords: Mathematics, Order, Lattices, Ordered Algebraic Structures, Mathematical Logic and Foundations

Author(s)
 
Publisher
Springer
Publication year
2009
Language
en
Edition
1
Series
Undergraduate Texts in Mathematics
Category
Natural Sciences
Format
Ebook
eISBN (PDF)
9780387684369

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