The stationary tower: notes on a course by W. Hugh Woodin
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, Rhode Island
American Mathematical Society
[2004]
|
| Series: | University lecture series
Volume 32 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | ix, 132 Seiten Diagramme |
| ISBN: | 0821836048 9780821836040 |
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Record in the Search Index
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| adam_text | IMAGE 1
UNIVERSITY
LECTURE SERIES VOLUME 32
THE STATIONARY TOWER
NOTES ON A COURSE BY W. HUGH WOODIN
PAUL B. LARSON
AMERICAN MATHEMATICAL SOCIETY PROVIDENCE, RHODE ISLAND
IMAGE 2
CONTENTS
PREFACE VII
0.1. NOTATION VIII
CHAPTER 1. ELEMENTARY EMBEDDINGS 1
1.1. ULTRAPOWERS 1
1.2. TOWERS OF MEASURES 14
1.3. TREE REPRESENTATIONS (PART I) 17
1.4. EXTENDERS 25
1.5. WOODIN CARDINALS 30
1.6. GENERIC ULTRAPOWERS 36
1.7. TREES AND THE NONSTATIONARY IDEAL 46
CHAPTER 2. THE STATIONARY TOWER 49
2.1. GENERALIZED STATIONARITY 49
2.2. STATIONARY TOWER EMBEDDINGS 51
2.3. COMPLETELY JONSSON CARDINALS 55
2.4. FORCING APPLICATIONS 59
2.5. WELLFOUNDEDNESS 61
2.6. PRESERVING WOODIN CARDINALS 74
2.7. THE COUNTABLE TOWER 78
CHAPTER 3. APPLICATIONS 85
3.1. REGULARITY PROPERTIES AND ABSOLUTENESS 85
3.2. SF-ABSOLUTENESS 93
3.3. TREE REPRESENTATIONS (PART II) 97
3,,4. FIXING THE THEORY OF THE UNIVERSALLY BAIRE SETS 106
APPENDIX: FORCING PREREQUISITES 123
BIBLIOGRAPHY 127
INDEX 131
|
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| classification_rvk | SI 165 SK 155 SK 260 |
| ctrlnum | (OCoLC)55502863 (DE-599)BVBBV019377073 |
| dewey-full | 511.34 511.3/4 511.322 |
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| isbn | 0821836048 9780821836040 |
| language | English |
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| physical | ix, 132 Seiten Diagramme |
| publishDate | 2004 |
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| spelling | Larson, Paul B. 1970- Verfasser (DE-588)173735460 aut The stationary tower notes on a course by W. Hugh Woodin Paul B. Larson Providence, Rhode Island American Mathematical Society [2004] © 2004 ix, 132 Seiten Diagramme txt rdacontent n rdamedia nc rdacarrier University lecture series Volume 32 Ensembles, Théorie des Forcing (Théorie des modèles) Forcing (modeltheorie) gtt Verzamelingen (wiskunde) gtt aForcing (Model theory) aSet theory Modelltheorie (DE-588)4114617-7 gnd rswk-swf Mengenlehre (DE-588)4074715-3 gnd rswk-swf Forcing (DE-588)4154978-8 gnd rswk-swf Modelltheorie (DE-588)4114617-7 s Forcing (DE-588)4154978-8 s Mengenlehre (DE-588)4074715-3 s DE-604 Erscheint auch als Online-Ausgabe 978-1-4704-2177-9 University lecture series Volume 32 (DE-604)BV004153846 32 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012840272&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Larson, Paul B. 1970- The stationary tower notes on a course by W. Hugh Woodin University lecture series Ensembles, Théorie des Forcing (Théorie des modèles) Forcing (modeltheorie) gtt Verzamelingen (wiskunde) gtt aForcing (Model theory) aSet theory Modelltheorie (DE-588)4114617-7 gnd Mengenlehre (DE-588)4074715-3 gnd Forcing (DE-588)4154978-8 gnd |
| subject_GND | (DE-588)4114617-7 (DE-588)4074715-3 (DE-588)4154978-8 |
| title | The stationary tower notes on a course by W. Hugh Woodin |
| title_auth | The stationary tower notes on a course by W. Hugh Woodin |
| title_exact_search | The stationary tower notes on a course by W. Hugh Woodin |
| title_full | The stationary tower notes on a course by W. Hugh Woodin Paul B. Larson |
| title_fullStr | The stationary tower notes on a course by W. Hugh Woodin Paul B. Larson |
| title_full_unstemmed | The stationary tower notes on a course by W. Hugh Woodin Paul B. Larson |
| title_short | The stationary tower |
| title_sort | the stationary tower notes on a course by w hugh woodin |
| title_sub | notes on a course by W. Hugh Woodin |
| topic | Ensembles, Théorie des Forcing (Théorie des modèles) Forcing (modeltheorie) gtt Verzamelingen (wiskunde) gtt aForcing (Model theory) aSet theory Modelltheorie (DE-588)4114617-7 gnd Mengenlehre (DE-588)4074715-3 gnd Forcing (DE-588)4154978-8 gnd |
| topic_facet | Ensembles, Théorie des Forcing (Théorie des modèles) Forcing (modeltheorie) Verzamelingen (wiskunde) aForcing (Model theory) aSet theory Modelltheorie Mengenlehre Forcing |
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