Simple theories and hyperimaginaries:
This book is an up-to-date introduction to simple theories and hyperimaginaries, with special attention to Lascar strong types and elimination of hyperimaginary problems. Assuming only knowledge of general model theory, the foundations of forking, stability and simplicity are presented in full detai...
Gespeichert in:
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2011
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| Schriftenreihe: | Lecture notes in logic
39 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 URL des Erstveröffentlichers |
| Zusammenfassung: | This book is an up-to-date introduction to simple theories and hyperimaginaries, with special attention to Lascar strong types and elimination of hyperimaginary problems. Assuming only knowledge of general model theory, the foundations of forking, stability and simplicity are presented in full detail. The treatment of the topics is as general as possible, working with stable formulas and types and assuming stability or simplicity of the theory only when necessary. The author offers an introduction to independence relations as well as a full account of canonical bases of types in stable and simple theories. In the last chapters the notions of internality and analyzability are discussed and used to provide a self-contained proof of elimination of hyperimaginaries in supersimple theories |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (xiv, 169 pages) |
| ISBN: | 9781139003728 |
| DOI: | 10.1017/CBO9781139003728 |
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| 490 | 0 | |a Lecture notes in logic |v 39 | |
| 500 | |a Title from publisher's bibliographic system (viewed on 05 Oct 2015) | ||
| 505 | 8 | |a Preliminaries -- x, y-Types, stability and simplicity -- x, y-Types and the local rank D -- Forking -- Independence -- The local rank CB x, y (pi) -- Heirs and coheirs -- Stable forking -- Lascar strong types -- The independence theorem -- Canonical bases -- Abstract independence relations -- Supersimple theories -- More ranks -- Hyperimaginaries -- Hyperimaginary forking -- Canonical bases revisited -- Elimination of hyperimaginaries -- Orthogonality and analysability -- Hyperimaginaries in supersimple theories | |
| 520 | |a This book is an up-to-date introduction to simple theories and hyperimaginaries, with special attention to Lascar strong types and elimination of hyperimaginary problems. Assuming only knowledge of general model theory, the foundations of forking, stability and simplicity are presented in full detail. The treatment of the topics is as general as possible, working with stable formulas and types and assuming stability or simplicity of the theory only when necessary. The author offers an introduction to independence relations as well as a full account of canonical bases of types in stable and simple theories. In the last chapters the notions of internality and analyzability are discussed and used to provide a self-contained proof of elimination of hyperimaginaries in supersimple theories | ||
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| 650 | 4 | |a First-order logic | |
| 650 | 4 | |a Hyperspace | |
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Datensatz im Suchindex
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| author | Casanovas, Enrique 1957- |
| author_facet | Casanovas, Enrique 1957- |
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| author_sort | Casanovas, Enrique 1957- |
| author_variant | e c ec |
| building | Verbundindex |
| bvnumber | BV043941699 |
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| contents | Preliminaries -- x, y-Types, stability and simplicity -- x, y-Types and the local rank D -- Forking -- Independence -- The local rank CB x, y (pi) -- Heirs and coheirs -- Stable forking -- Lascar strong types -- The independence theorem -- Canonical bases -- Abstract independence relations -- Supersimple theories -- More ranks -- Hyperimaginaries -- Hyperimaginary forking -- Canonical bases revisited -- Elimination of hyperimaginaries -- Orthogonality and analysability -- Hyperimaginaries in supersimple theories |
| ctrlnum | (ZDB-20-CBO)CR9781139003728 (OCoLC)967775588 (DE-599)BVBBV043941699 |
| dewey-full | 511.3/4 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511.3/4 |
| dewey-search | 511.3/4 |
| dewey-sort | 3511.3 14 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9781139003728 |
| format | Electronic eBook |
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| id | DE-604.BV043941699 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:16Z |
| institution | BVB |
| isbn | 9781139003728 |
| language | English |
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| oclc_num | 967775588 |
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| physical | 1 online resource (xiv, 169 pages) |
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| publishDate | 2011 |
| publishDateSearch | 2011 |
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| publisher | Cambridge University Press |
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| series2 | Lecture notes in logic |
| spelling | Casanovas, Enrique 1957- Verfasser aut Simple theories and hyperimaginaries Enrique Casanovas Simple Theories & Hyperimaginaries Cambridge Cambridge University Press 2011 1 online resource (xiv, 169 pages) txt rdacontent c rdamedia cr rdacarrier Lecture notes in logic 39 Title from publisher's bibliographic system (viewed on 05 Oct 2015) Preliminaries -- x, y-Types, stability and simplicity -- x, y-Types and the local rank D -- Forking -- Independence -- The local rank CB x, y (pi) -- Heirs and coheirs -- Stable forking -- Lascar strong types -- The independence theorem -- Canonical bases -- Abstract independence relations -- Supersimple theories -- More ranks -- Hyperimaginaries -- Hyperimaginary forking -- Canonical bases revisited -- Elimination of hyperimaginaries -- Orthogonality and analysability -- Hyperimaginaries in supersimple theories This book is an up-to-date introduction to simple theories and hyperimaginaries, with special attention to Lascar strong types and elimination of hyperimaginary problems. Assuming only knowledge of general model theory, the foundations of forking, stability and simplicity are presented in full detail. The treatment of the topics is as general as possible, working with stable formulas and types and assuming stability or simplicity of the theory only when necessary. The author offers an introduction to independence relations as well as a full account of canonical bases of types in stable and simple theories. In the last chapters the notions of internality and analyzability are discussed and used to provide a self-contained proof of elimination of hyperimaginaries in supersimple theories Model theory First-order logic Hyperspace Erscheint auch als Druckausgabe 978-0-521-11955-9 https://doi.org/10.1017/CBO9781139003728 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Casanovas, Enrique 1957- Simple theories and hyperimaginaries Preliminaries -- x, y-Types, stability and simplicity -- x, y-Types and the local rank D -- Forking -- Independence -- The local rank CB x, y (pi) -- Heirs and coheirs -- Stable forking -- Lascar strong types -- The independence theorem -- Canonical bases -- Abstract independence relations -- Supersimple theories -- More ranks -- Hyperimaginaries -- Hyperimaginary forking -- Canonical bases revisited -- Elimination of hyperimaginaries -- Orthogonality and analysability -- Hyperimaginaries in supersimple theories Model theory First-order logic Hyperspace |
| title | Simple theories and hyperimaginaries |
| title_alt | Simple Theories & Hyperimaginaries |
| title_auth | Simple theories and hyperimaginaries |
| title_exact_search | Simple theories and hyperimaginaries |
| title_full | Simple theories and hyperimaginaries Enrique Casanovas |
| title_fullStr | Simple theories and hyperimaginaries Enrique Casanovas |
| title_full_unstemmed | Simple theories and hyperimaginaries Enrique Casanovas |
| title_short | Simple theories and hyperimaginaries |
| title_sort | simple theories and hyperimaginaries |
| topic | Model theory First-order logic Hyperspace |
| topic_facet | Model theory First-order logic Hyperspace |
| url | https://doi.org/10.1017/CBO9781139003728 |
| work_keys_str_mv | AT casanovasenrique simpletheoriesandhyperimaginaries AT casanovasenrique simpletheorieshyperimaginaries |