Ideals Over Uncountable Sets Application Of Almost Disjoint Functions And Generic Ultrapowers
Download Ideals Over Uncountable Sets Application Of Almost Disjoint Functions And Generic Ultrapowers full books in PDF, epub, and Kindle. Read online free Ideals Over Uncountable Sets Application Of Almost Disjoint Functions And Generic Ultrapowers ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads.
Author |
: Thomas J. Jech |
Publisher |
: American Mathematical Soc. |
Total Pages |
: 77 |
Release |
: 1979 |
ISBN-10 |
: 9780821822142 |
ISBN-13 |
: 0821822144 |
Rating |
: 4/5 (42 Downloads) |
Synopsis Ideals over Uncountable Sets: Application of Almost Disjoint Functions and Generic Ultrapowers by : Thomas J. Jech
This work is a systematic study of ideals over uncountable sets. In particular, we investigate the role of various properties of ideals in arithmetic of cardinal numbers. We also study consequences of existence of precipitous ideals for the generalized continuum hypothesis and the singular cardinals problem.
Author |
: American Mathematical Society |
Publisher |
: |
Total Pages |
: 72 |
Release |
: 1979 |
ISBN-10 |
: 0821822136 |
ISBN-13 |
: 9780821822135 |
Rating |
: 4/5 (36 Downloads) |
Synopsis Ideals Over Uncountable Sets by : American Mathematical Society
Author |
: |
Publisher |
: |
Total Pages |
: 71 |
Release |
: 1950 |
ISBN-10 |
: 0821822144 |
ISBN-13 |
: 9780821822142 |
Rating |
: 4/5 (44 Downloads) |
Synopsis Memoirs of the American Mathematical Society by :
Author |
: Thomas Jech |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 642 |
Release |
: 2013-06-29 |
ISBN-10 |
: 9783662224007 |
ISBN-13 |
: 3662224003 |
Rating |
: 4/5 (07 Downloads) |
Synopsis Set Theory by : Thomas Jech
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.
Author |
: |
Publisher |
: |
Total Pages |
: 130 |
Release |
: 1985-12 |
ISBN-10 |
: |
ISBN-13 |
: |
Rating |
: 4/5 ( Downloads) |
Synopsis Canadian Journal of Mathematics by :
Author |
: Heinz-Dieter Ebbinghaus |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 653 |
Release |
: 2013-06-29 |
ISBN-10 |
: 9783662090589 |
ISBN-13 |
: 3662090589 |
Rating |
: 4/5 (89 Downloads) |
Synopsis Ω-Bibliography of Mathematical Logic by : Heinz-Dieter Ebbinghaus
Gert H. Müller The growth of the number of publications in almost all scientific areas, as in the area of (mathematical) logic, is taken as a sign of our scientifically minded culture, but it also has a terrifying aspect. In addition, given the rapidly growing sophistica tion, specialization and hence subdivision of logic, researchers, students and teachers may have a hard time getting an overview of the existing literature, partic ularly if they do not have an extensive library available in their neighbourhood: they simply do not even know what to ask for! More specifically, if someone vaguely knows that something vaguely connected with his interests exists some where in the literature, he may not be able to find it even by searching through the publications scattered in the review journals. Answering this challenge was and is the central motivation for compiling this Bibliography. The Bibliography comprises (presently) the following six volumes (listed with the corresponding Editors): I. Classical Logic W. Rautenberg 11. Non-classical Logics W. Rautenberg 111. Model Theory H.-D. Ebbinghaus IV. Recursion Theory P.G. Hinman V. Set Theory A.R. Blass VI. ProofTheory; Constructive Mathematics J.E. Kister; D. van Dalen & A.S. Troelstra.
Author |
: C. Whitehead |
Publisher |
: CUP Archive |
Total Pages |
: 264 |
Release |
: 1987-07-16 |
ISBN-10 |
: 0521348056 |
ISBN-13 |
: 9780521348058 |
Rating |
: 4/5 (56 Downloads) |
Synopsis Surveys in Combinatorics 1987 by : C. Whitehead
Author |
: Lev D. Beklemishev |
Publisher |
: Elsevier |
Total Pages |
: 323 |
Release |
: 2000-04-01 |
ISBN-10 |
: 9780080955049 |
ISBN-13 |
: 0080955045 |
Rating |
: 4/5 (49 Downloads) |
Synopsis Logic Colloquium '77 by : Lev D. Beklemishev
Logic Colloquium '77
Author |
: Saharon Shelah |
Publisher |
: Cambridge University Press |
Total Pages |
: 1070 |
Release |
: 2017-03-23 |
ISBN-10 |
: 9781316739433 |
ISBN-13 |
: 1316739430 |
Rating |
: 4/5 (33 Downloads) |
Synopsis Proper and Improper Forcing by : Saharon Shelah
Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. This volume, the fifth publication in the Perspectives in Logic series, studies set-theoretic independence results (independence from the usual set-theoretic ZFC axioms), in particular for problems on the continuum. The author gives a complete presentation of the theory of proper forcing and its relatives, starting from the beginning and avoiding the metamathematical considerations. No prior knowledge of forcing is required. The book will enable a researcher interested in an independence result of the appropriate kind to have much of the work done for them, thereby allowing them to quote general results.
Author |
: R. Göbel |
Publisher |
: Springer |
Total Pages |
: 526 |
Release |
: 2014-05-04 |
ISBN-10 |
: 9783709128145 |
ISBN-13 |
: 3709128145 |
Rating |
: 4/5 (45 Downloads) |
Synopsis Abelian Groups and Modules by : R. Göbel