Coding into inner models at the level of strong cardinals:
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| Main Author: | |
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| Format: | Book |
| Language: | English |
| Published: |
2015
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIII, 77 S. graph. Darst. |
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| adam_text | CONTENTS
CONTENTS III
LIST OF FIGURES V
ACKNOWLEDGEMENTS VII
INTRODUCTION IX
OVERVIEW XI
1 SOME PROPERTIES OF THE CORE MODEL 1
1.1 BELOW A WOODIN CARDINAL 1
1.1.1 WEAK COVERING THEOREMS 2
1.1.2 MAXIMALITY, CORRECTNESS AND ABSOLUTENESS 3
1.1.3 COMBINATORIAL PRINCIPLES 4
1.2 COMPLEXITY OF THE DEFINITION OF K 4
1.3 BELOW A FIXED NUMBER OF STRONG CARDINALS 7
2 SOME CODING 11
2.1 ALMOST DISJOINT CODING 12
2.2 RESHAPING ^. . 14
2.3 ALMOST DISJOINT CODING ON A RESHAPED SET 17
2.4 WHY FORCE, WHY RESHAPE AND CODING THE UNIVERSE 18
3 FAILURES OF CONDENSATION 23
3.1 AN EMBEDDING INTO K A, WHERE A IS THE LENGTH OF THE EXTENDER . ...
23
3.2 EMBEDDINGS TO K 9, 9 A 28
4 PREPARING V FOR CODING 31
4.1 STATIONARY PRESERVING FORCINGS 31
III
HTTP://D-NB.INFO/1073995011
CONTENTS IV
4.2 PICKING A STARTING POINT 32
4.3 COLLAPSING 8 TO UI 34
5 WHEN THE STRONG CARDINALS ARE BELOW 37
5.1 THE THEOREM, A SKETCH OF THE PROOF 37
5.2 CODING INTO A SUBSET OF U I 38
5.3 CODING DOWN TO A REAL 40
5.3.1 CHOOSING THE CODING STRUCTURES 41
5.3.2 RESHAPING 46
5.3.3 THE FINAL CODING AND COMPLEXITY ANALYSIS 50
6 CODING HIGHER ABOVE 53
6.1 MASSAGING THE UNIVERSE 54
6.2 ANALYZING THE COLLAPSED STRUCTURES 55
6.3 RESHAPING 59
7 CONNECTIONS WITH ABSOLUTENESS 65
7.1 DEFINABLE WELL-ORDERINGS VIA CODING 66
7.2 DEFINABLE WELL-ORDERINGS AND ABSOLUTENESS 67
7.3 LIMITATIONS ON FORCING STATIONARY PRESERVING ABSOLUTENESS 68
BIBLIOGRAPHY 71
NOTATION 75
INDEX 77
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| spelling | Koulakis, Marios 1984- Verfasser (DE-588)107068001X aut Coding into inner models at the level of strong cardinals vorgelegt von Marios Koulakis 2015 XIII, 77 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Inneres Modell (DE-588)4344259-6 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Inneres Modell (DE-588)4344259-6 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028159218&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Koulakis, Marios 1984- Coding into inner models at the level of strong cardinals Inneres Modell (DE-588)4344259-6 gnd |
| subject_GND | (DE-588)4344259-6 (DE-588)4113937-9 |
| title | Coding into inner models at the level of strong cardinals |
| title_auth | Coding into inner models at the level of strong cardinals |
| title_exact_search | Coding into inner models at the level of strong cardinals |
| title_full | Coding into inner models at the level of strong cardinals vorgelegt von Marios Koulakis |
| title_fullStr | Coding into inner models at the level of strong cardinals vorgelegt von Marios Koulakis |
| title_full_unstemmed | Coding into inner models at the level of strong cardinals vorgelegt von Marios Koulakis |
| title_short | Coding into inner models at the level of strong cardinals |
| title_sort | coding into inner models at the level of strong cardinals |
| topic | Inneres Modell (DE-588)4344259-6 gnd |
| topic_facet | Inneres Modell Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028159218&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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