The largest Suslin axiom:
Developing the theory up to the current state-of-the art, this book studies the minimal model of the Largest Suslin Axiom (LSA), which is one of the most important determinacy axioms and features prominently in Hugh Woodin's foundational framework known as the Ultimate L. The authors establish...
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| Main Authors: | , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge, United Kingdom ; New York, NY
Cambridge University Press
2024
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| Series: | Lecture notes in logic
56 |
| Subjects: | |
| Online Access: | DE-12 DE-634 DE-92 Volltext |
| Summary: | Developing the theory up to the current state-of-the art, this book studies the minimal model of the Largest Suslin Axiom (LSA), which is one of the most important determinacy axioms and features prominently in Hugh Woodin's foundational framework known as the Ultimate L. The authors establish the consistency of LSA relative to large cardinals and develop methods for building models of LSA from other foundational frameworks such as Forcing Axioms. The book significantly advances the Core Model Induction method, which is the most successful method for building canonical inner models from various hypotheses. Also featured is a proof of the Mouse Set Conjecture in the minimal model of the LSA. It will be indispensable for graduate students as well as researchers in mathematics and philosophy of mathematics who are interested in set theory and in particular, in descriptive inner model theory |
| Item Description: | Title from publisher's bibliographic system (viewed on 28 May 2024) |
| Physical Description: | 1 Online-Ressource (ix, 393 Seiten) |
| ISBN: | 9781009520683 |
| DOI: | 10.1017/9781009520683 |
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| id | DE-604.BV049926758 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-06T15:11:34Z |
| institution | BVB |
| isbn | 9781009520683 |
| language | English |
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| spelling | Sargsyan, Grigor 1980- (DE-588)1074117425 aut The largest Suslin axiom Grigor Sargsyan, Polish Academy of Sciences, Nam Trang, University of North Texas Cambridge, United Kingdom ; New York, NY Cambridge University Press 2024 1 Online-Ressource (ix, 393 Seiten) txt rdacontent c rdamedia cr rdacarrier Lecture notes in logic 56 Title from publisher's bibliographic system (viewed on 28 May 2024) Developing the theory up to the current state-of-the art, this book studies the minimal model of the Largest Suslin Axiom (LSA), which is one of the most important determinacy axioms and features prominently in Hugh Woodin's foundational framework known as the Ultimate L. The authors establish the consistency of LSA relative to large cardinals and develop methods for building models of LSA from other foundational frameworks such as Forcing Axioms. The book significantly advances the Core Model Induction method, which is the most successful method for building canonical inner models from various hypotheses. Also featured is a proof of the Mouse Set Conjecture in the minimal model of the LSA. It will be indispensable for graduate students as well as researchers in mathematics and philosophy of mathematics who are interested in set theory and in particular, in descriptive inner model theory Axiomatic set theory Trang, Nam aut Erscheint auch als Druck-Ausgabe 9781009520713 https://doi.org/10.1017/9781009520683?locatt=mode:legacy Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Sargsyan, Grigor 1980- Trang, Nam The largest Suslin axiom Axiomatic set theory |
| title | The largest Suslin axiom |
| title_auth | The largest Suslin axiom |
| title_exact_search | The largest Suslin axiom |
| title_full | The largest Suslin axiom Grigor Sargsyan, Polish Academy of Sciences, Nam Trang, University of North Texas |
| title_fullStr | The largest Suslin axiom Grigor Sargsyan, Polish Academy of Sciences, Nam Trang, University of North Texas |
| title_full_unstemmed | The largest Suslin axiom Grigor Sargsyan, Polish Academy of Sciences, Nam Trang, University of North Texas |
| title_short | The largest Suslin axiom |
| title_sort | the largest suslin axiom |
| topic | Axiomatic set theory |
| topic_facet | Axiomatic set theory |
| url | https://doi.org/10.1017/9781009520683?locatt=mode:legacy |
| work_keys_str_mv | AT sargsyangrigor thelargestsuslinaxiom AT trangnam thelargestsuslinaxiom |