A comparison process for mouse pairs:
This book proves some important new theorems in the theory of canonical inner models for large cardinal hypotheses, a topic of central importance in modern set theory. In particular, the author 'completes' the theory of Fine Structure and Iteration Trees (FSIT) by proving a comparison theo...
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Ithaca, NY
Association for Symbolic Logic
2023
Cambridge Cambridge University Press 2023 |
| Series: | Lecture notes in logic
51 |
| Subjects: | |
| Online Access: | BSB01 BTU01 FHN01 TUM01 Volltext |
| Summary: | This book proves some important new theorems in the theory of canonical inner models for large cardinal hypotheses, a topic of central importance in modern set theory. In particular, the author 'completes' the theory of Fine Structure and Iteration Trees (FSIT) by proving a comparison theorem for mouse pairs parallel to the FSIT comparison theorem for pure extender mice, and then using the underlying comparison process to develop a fine structure theory for strategy mice. Great effort has been taken to make the book accessible to non-experts so that it may also serve as an introduction to the higher reaches of inner model theory. It contains a good deal of background material, some of it unpublished folklore, and includes many references to the literature to guide further reading. An introductory essay serves to place the new results in their broader context. This is a landmark work in inner model theory that should be in every set theorist's library. |
| Physical Description: | 1 Online-Ressource (xii, 536 Seiten) |
| ISBN: | 9781108886840 |
| DOI: | 10.1017/9781108886840 |
Staff View
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| id | DE-604.BV048665228 |
| illustrated | Not Illustrated |
| index_date | 2024-07-03T21:22:00Z |
| indexdate | 2024-07-10T09:45:19Z |
| institution | BVB |
| isbn | 9781108886840 |
| language | English |
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| publishDate | 2023 |
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| spelling | Steel, John R. 1948- (DE-588)1103857118 aut A comparison process for mouse pairs John R. Steel Ithaca, NY Association for Symbolic Logic 2023 Cambridge Cambridge University Press 2023 1 Online-Ressource (xii, 536 Seiten) txt rdacontent c rdamedia cr rdacarrier Lecture notes in logic 51 This book proves some important new theorems in the theory of canonical inner models for large cardinal hypotheses, a topic of central importance in modern set theory. In particular, the author 'completes' the theory of Fine Structure and Iteration Trees (FSIT) by proving a comparison theorem for mouse pairs parallel to the FSIT comparison theorem for pure extender mice, and then using the underlying comparison process to develop a fine structure theory for strategy mice. Great effort has been taken to make the book accessible to non-experts so that it may also serve as an introduction to the higher reaches of inner model theory. It contains a good deal of background material, some of it unpublished folklore, and includes many references to the literature to guide further reading. An introductory essay serves to place the new results in their broader context. This is a landmark work in inner model theory that should be in every set theorist's library. Set theory Iterative methods (Mathematics) Mathematical models Erscheint auch als Druck-Ausgabe 978-1-108-84068-2 Lecture notes in logic 51 (DE-604)BV041460285 51 https://doi.org/10.1017/9781108886840 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Steel, John R. 1948- A comparison process for mouse pairs Lecture notes in logic Set theory Iterative methods (Mathematics) Mathematical models |
| title | A comparison process for mouse pairs |
| title_auth | A comparison process for mouse pairs |
| title_exact_search | A comparison process for mouse pairs |
| title_exact_search_txtP | A comparison process for mouse pairs |
| title_full | A comparison process for mouse pairs John R. Steel |
| title_fullStr | A comparison process for mouse pairs John R. Steel |
| title_full_unstemmed | A comparison process for mouse pairs John R. Steel |
| title_short | A comparison process for mouse pairs |
| title_sort | a comparison process for mouse pairs |
| topic | Set theory Iterative methods (Mathematics) Mathematical models |
| topic_facet | Set theory Iterative methods (Mathematics) Mathematical models |
| url | https://doi.org/10.1017/9781108886840 |
| volume_link | (DE-604)BV041460285 |
| work_keys_str_mv | AT steeljohnr acomparisonprocessformousepairs |