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Surveys in set theory /
This book comprises five expository articles and two research papers on topics of current interest in set theory and the foundations of mathematics. Articles by Baumgartner and Devlin introduce the reader to proper forcing. This is a development by Saharon Shelah of Cohen's method which has led...
| Clasificación: | Libro Electrónico |
|---|---|
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge [Cambridgeshire] ; New York :
Cambridge University Press,
1983.
|
| Colección: | London Mathematical Society lecture note series ;
87. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 008 | 130415s1983 enka ob 000 0 eng d | ||
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| 245 | 0 | 0 | |a Surveys in set theory / |c edited by A.R.D. Mathias. |
| 260 | |a Cambridge [Cambridgeshire] ; |a New York : |b Cambridge University Press, |c 1983. | ||
| 300 | |a 1 online resource (247 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a London Mathematical Society lecture note series, |x 0076-0552 ; |v 87 | |
| 504 | |a Includes bibliographical references. | ||
| 588 | 0 | |a Print version record. | |
| 520 | |a This book comprises five expository articles and two research papers on topics of current interest in set theory and the foundations of mathematics. Articles by Baumgartner and Devlin introduce the reader to proper forcing. This is a development by Saharon Shelah of Cohen's method which has led to solutions of problems that resisted attack by forcing methods as originally developed in the 1960s. The article by Guaspari is an introduction to descriptive set theory, a subject that has developed dramatically in the last few years. Articles by Kanamori and Stanley discuss one of the most difficult concepts in contemporary set theory, that of the morass, first created by Ronald Jensen in 1971 to solve the gap-two conjecture in model theory, assuming Gödel's axiom of constructibility. The papers by Prikry and Shelah complete the volume by giving the reader the flavour of contemporary research in set theory. This book will be of interest to graduate students and research workers in set theory and mathematical logic. | ||
| 505 | 0 | |a Cover; Title; Copyright; Contents; PREFACE; ITERATED FORCING; 0. Introduction and terminology; 1. Iterated forcing; 2. Chain conditions and closure; 3. Martin's Axiom; 4. Generalized Martin's Axiom; 5. Intermediate Stages; 6. Reverse Easton Forcing; 7. Axiom A forcing; 8. An application to trees; 9. Iterated Mathias forcing and the Borel Conjecture; References; THE YORKSHIREMAN'S GUIDE TO PROPER FORCING; 0. INTRODUCTION; 1. PRELIMINARIES; 3. PROPER ITERATIONS; 4. COLORING LADDER SYSTEMS; 5. THE PROPER FORCING AXIOM; 6. HISTORICAL REMARKS; References; THE SINGULAR CARDINALS PROBLEM | |
| 505 | 8 | |a INDEPENDENCE RESULTSAbstract; Notation; Notation on forcing; 1; 1.1. Framework; 1.2 The forcing notion; 1.3 Technical Definitions on the forcing conditions; 1.4 The Inner Model; 1.5 Automorphism of P; 1.6 Claim; 1.7 Definition. Good Cardinals for P; 1.8 The Main Lemma; 1.9. Notation; 1.10. Claim; 1.11. Claim; 1.12 Proof of the Main Lemma 1.8B; 1.13 Claim; 1.14. Corollary; 1.15 Claim; 2. Applications; REFERENCES; TREES, NORMS AND SCALES; 0. Introduction; 1. Trees; 2. Norms; 3. Scales; ON THE REGULARITY OF ULTRAFILTERS; REFERENCES; MORASSES IN COMBINATORIAL SET THEORY | |
| 505 | 8 | |a 1. PRIKRY'S PRINCIPLE2. SILVER'S PRINCIPLE; 3. BURGESS' PRINCIPLE; 4. GENERALIZATIONS; REFERENCES; A SHORT COURSE ON GAP-ONE MORASSES WITH A REVIEW OF THE FINE STRUCTURE OF L; 1. Introduction; 2 THE FINE STRUCTURE OF L, NOW THAT THE DUST HAS CLEARED; 3 MORASSES AND CONSTRUCTING THEM IN L; 4. COMBINATORIAL APPLICATIONS; 5. GETTING MORASSES BY FORCING; REFERENCES; LIST OF PARTICIPANTS | |
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Set theory. | |
| 650 | 6 | |a Théorie des ensembles. | |
| 650 | 7 | |a MATHEMATICS |x Set Theory. |2 bisacsh | |
| 650 | 7 | |a Set theory |2 fast | |
| 650 | 7 | |a Mengenlehre |2 gnd | |
| 650 | 7 | |a Ensembles, Théorie des. |2 ram | |
| 655 | 4 | |a Aufsatzsammlung. | |
| 700 | 1 | |a Mathias, A. R. D. |q (Adrian Richard David), |d 1944- | |
| 776 | 0 | 8 | |i Print version: |t Surveys in set theory. |d Cambridge [Cambridgeshire] ; New York : Cambridge University Press, 1983 |z 0521277337 |w (DLC) 83010106 |w (OCoLC)9621681 |
| 830 | 0 | |a London Mathematical Society lecture note series ; |v 87. |x 0076-0552 | |
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