Set Theory PDF
By:Thomas Jech
Published on 2013-06-29 by Springer Science & Business Media
The main body of this book consists of 106 numbered theorems and a dozen of examples of models of set theory. A large number of additional results is given in the exercises, which are scattered throughout the text. Most exer cises are provided with an outline of proof in square brackets [ ], and the more difficult ones are indicated by an asterisk. I am greatly indebted to all those mathematicians, too numerous to men tion by name, who in their letters, preprints, handwritten notes, lectures, seminars, and many conversations over the past decade shared with me their insight into this exciting subject. XI CONTENTS Preface xi PART I SETS Chapter 1 AXIOMATIC SET THEORY I. Axioms of Set Theory I 2. Ordinal Numbers 12 3. Cardinal Numbers 22 4. Real Numbers 29 5. The Axiom of Choice 38 6. Cardinal Arithmetic 42 7. Filters and Ideals. Closed Unbounded Sets 52 8. Singular Cardinals 61 9. The Axiom of Regularity 70 Appendix: Bernays-Godel Axiomatic Set Theory 76 Chapter 2 TRANSITIVE MODELS OF SET THEORY 10. Models of Set Theory 78 II. Transitive Models of ZF 87 12. Constructible Sets 99 13. Consistency of the Axiom of Choice and the Generalized Continuum Hypothesis 108 14. The In Hierarchy of Classes, Relations, and Functions 114 15. Relative Constructibility and Ordinal Definability 126 PART II MORE SETS Chapter 3 FORCING AND GENERIC MODELS 16. Generic Models 137 17. Complete Boolean Algebras 144 18.
This Book was ranked at 37 by Google Books for keyword mathematics about sets.
Book ID of Set Theory's Books is GHjmCAAAQBAJ, Book which was written byThomas Jechhave ETAG "1fQ+LAWafyg"
Book which was published by Springer Science & Business Media since 2013-06-29 have ISBNs, ISBN 13 Code is 9783662224007 and ISBN 10 Code is 3662224003
Reading Mode in Text Status is false and Reading Mode in Image Status is true
Book which have "634 Pages" is Printed at BOOK under CategoryMathematics
Book was written in en
eBook Version Availability Status at PDF is true and in ePub is false
Book Preview
Download Set Theory PDF Free
Download Set Theory Books Free
Download Set Theory Free
Download Set Theory PDF
Download Set Theory Books
No comments:
Post a Comment