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           Set Theory: Boolean-Valued Models and Independence Proofs

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Type.................: Ebook

Part Size............: 1,380,268 bytes









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Posted by............: ~tqw~



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                                 Release Notes

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This monograph is a follow up to the author\'s classic text Boolean-Valued Models 

and Independence Proofs in Set Theory, providing an exposition of some of the 

most important results in set theory obtained in the 20th century-the 

independence of the continuum hypothesis and the axiom of choice. Aimed at 

research students and academics in mathematics, mathematical logic, philosophy, 

and computer science, the text has been extensively updated with expanded 

introductory material, new chapters and a new appendix on category theory, and 

includes recent developments in the field. Numerous exercises, along with the 

enlarged and entirely updated background material, make this an ideal text for 

students in logic and set theory.



Table of Contents



	Boolean and Heyting algebras : the essentials	1

1	Boolean-values models of set theory : first steps	16

2	Forcing and some independence proofs	55

3	Group actions on V[superscript (B)] and the independence of the axiom of 

        choice	71

4	Generic ultrafilters and transitive models of ZFC	88

5	Cardinal collapsing, Boolean isomorphism, and applications to the theory 

        of Boolean algebras	109

6	Iterated Boolean extensions, Martin\'s axiom, and Souslin\'s hypothesis 

        120

7	Boolean-valued analysis	149

8	Intuitionistic set theory and Heyting-algebra-valued models	158

App	Boolean and Heyting algebra-valued models as categories	169



Product Details



    * ISBN: 0198568525

    * ISBN-13: 9780198568520

    * Format: Hardcover, 191pp

    * Publisher: Oxford University Press

    * Pub. Date: July 2005

    * Edition Description: REV

    * Edition Number: 3



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