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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.
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| Colección: | London Mathematical Society lecture note series ;
87. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 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
- 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
- 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