Set theory : Boolean-valued models and independence proofs
Author(s)
Bibliographic Information
Set theory : Boolean-valued models and independence proofs
（Oxford logic guides, 47）
Clarendon Press, 2005
3rd ed
Available at / 22 libraries
-
Library, Research Institute for Mathematical Sciences, Kyoto University数研
BEL||11||3(3)78891765
-
No Libraries matched.
- Remove all filters.
Note
Bibliography: p. [184]-187
Includes indexes
Description and Table of Contents
Description
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
- Foreword
- Preface
- List of Problems
- 0. Boolean and Heyting Algebras: The Essentials
- 1. Boolean-Valued Models: First Steps
- 2. Forcing and Some Independece Proofs
- 3. Group Actions on V(B) and the Independence of the Axiom of Choice
- 4. Generic Ultrafilters and Transitive Models of ZFC
- 5. Cardinal Collapsing, Boolean Isomorphism and Applications to the Theory of Boolean Algebras
- 6. Iterated Boolean Extensions, Martin's Axiom and Souslin's Hypothesis
- 7. Boolean-Valued Analysis
- 8. Intuitionistic Set Theory and Heyting-Algebra-Valued Models
- Appendix. Boolean- and Heyting-Algebra-Valued Models as Categories
- Historical Notes
- Bibliography
- Index of Symbols
- Index of Terms
by "Nielsen BookData"