Induction, bounding, weak combinatorial principles, and the homogeneous model theorem:
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, Rhode Island
American Mathematical Society
September 2017
|
| Schriftenreihe: | Memoirs of the American Mathematical Society
1187 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis Inhaltsverzeichnis |
| Beschreibung: | v, 101, 4 ungezählte Seiten |
| ISBN: | 9781470426576 |
Internformat
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Datensatz im Suchindex
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| adam_text | Titel: Induction, bounding, weak combinatorial principles, and the homogeneous model theorem
Autor: Hirschfeldt, Denis R
Jahr: 2017
Contents
Chapter 1. Introduction 1
1.1. The thematic level 1
1.2. The specifics 5
1.3. An outline of the paper 13
Chapter 2. Definitions 15
2.1. Reverse mathematics . 15
2.2. Model theoretic notions 1G
2.3. Other notions 19
Chapter 3. The Atomic Model Theorem and Related Principles 21
Chapter 4. Defining Homogeneity 27
Chapter 5. Closure Conditions and Model Existence 41
5.1. Type spectra of homogeneous models 41
5.2. Type spectra of general models 43
5.3. Comparing closure conditions 44
5.4. Spectrum enumeration existence theorems 45
5.5. Model existence theorems 48
Chapter G. Extension Functions and Model Existence 51
G.l. Extension functions 51
G.2. The reverse mathematics of extension functions 5G
Chapter 7. The Reverse Mathematics of Model Existence Theorems 75
7.1. Extension function approximations. AMT, and ATT 7G
7.2. Comparing model existence theorems 83
7.3. Computability theoretic equivalences 84
Chapter 8. Open Questions 87
Appendix A. Approximating Generics 89
Appendix 13. Atomic Trees 93
Appendix C. Saturated Models 97
Bibliography 99
|
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| indexdate | 2024-07-10T07:55:47Z |
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| isbn | 9781470426576 |
| language | English |
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| series2 | Memoirs of the American Mathematical Society |
| spelling | Hirschfeldt, Denis R. aut Induction, bounding, weak combinatorial principles, and the homogeneous model theorem Denis R. Hirschfeldt, Karen Lange, Richard A. Shore Providence, Rhode Island American Mathematical Society September 2017 v, 101, 4 ungezählte Seiten txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society volume 249, number 1187 (eight of eight numbers) Berechnungskomplexität (DE-588)4134751-1 gnd rswk-swf Homogenität (DE-588)4300430-1 gnd rswk-swf Modelltheorie (DE-588)4114617-7 gnd rswk-swf Modelltheorie (DE-588)4114617-7 s Homogenität (DE-588)4300430-1 s Berechnungskomplexität (DE-588)4134751-1 s DE-604 Lange, Karen 1980- (DE-588)1141065037 aut Shore, Richard A. 1946- (DE-588)172660513 aut Memoirs of the American Mathematical Society 1187 (DE-604)BV008000141 1187 http://digitool.hbz-nrw.de:1801/webclient/DeliveryManager?pid=7419923&custom_att_2=simple_viewer Induction, bounding, weak combinatorial principles, and the homogeneous model theorem Inhaltsverzeichnis HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029954613&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Hirschfeldt, Denis R. Lange, Karen 1980- Shore, Richard A. 1946- Induction, bounding, weak combinatorial principles, and the homogeneous model theorem Memoirs of the American Mathematical Society Berechnungskomplexität (DE-588)4134751-1 gnd Homogenität (DE-588)4300430-1 gnd Modelltheorie (DE-588)4114617-7 gnd |
| subject_GND | (DE-588)4134751-1 (DE-588)4300430-1 (DE-588)4114617-7 |
| title | Induction, bounding, weak combinatorial principles, and the homogeneous model theorem |
| title_auth | Induction, bounding, weak combinatorial principles, and the homogeneous model theorem |
| title_exact_search | Induction, bounding, weak combinatorial principles, and the homogeneous model theorem |
| title_full | Induction, bounding, weak combinatorial principles, and the homogeneous model theorem Denis R. Hirschfeldt, Karen Lange, Richard A. Shore |
| title_fullStr | Induction, bounding, weak combinatorial principles, and the homogeneous model theorem Denis R. Hirschfeldt, Karen Lange, Richard A. Shore |
| title_full_unstemmed | Induction, bounding, weak combinatorial principles, and the homogeneous model theorem Denis R. Hirschfeldt, Karen Lange, Richard A. Shore |
| title_short | Induction, bounding, weak combinatorial principles, and the homogeneous model theorem |
| title_sort | induction bounding weak combinatorial principles and the homogeneous model theorem |
| topic | Berechnungskomplexität (DE-588)4134751-1 gnd Homogenität (DE-588)4300430-1 gnd Modelltheorie (DE-588)4114617-7 gnd |
| topic_facet | Berechnungskomplexität Homogenität Modelltheorie |
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