Classification theory and the number of non-isomorphic models:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Amsterdam
North-Holland
1990
|
| Ausgabe: | Rev. ed |
| Schriftenreihe: | Studies in logic and the foundations of mathematics
v. 92 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | In this research monograph, the author's work on classification and related topics are presented. This revised edition brings the book up to date with the addition of four new chapters as well as various corrections to the 1978 text. The additional chapters X - XIII present the solution to countable first order T of what the author sees as the main test of the theory. In Chapter X the Dimensional Order Property is introduced and it is shown to be a meaningful dividing line for superstable theories. In Chapter XI there is a proof of the decomposition theorems. Chapter XII is the crux of the matter: there is proof that the negation of the assumption used in Chapter XI implies that in models of T a relation can be defined which orders a large subset of mM. This theorem is also the subject of Chapter XIII. Includes bibliographical references (p. 684-690) and indexes |
| Beschreibung: | 1 Online-Ressource (xxxiv, 705 p.) |
| ISBN: | 9780444702609 0444702601 |
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| 100 | 1 | |a Shelah, Saharon |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Classification theory and the number of non-isomorphic models |c S. Shelah |
| 250 | |a Rev. ed | ||
| 264 | 1 | |a Amsterdam |b North-Holland |c 1990 | |
| 300 | |a 1 Online-Ressource (xxxiv, 705 p.) | ||
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| 490 | 0 | |a Studies in logic and the foundations of mathematics |v v. 92 | |
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Datensatz im Suchindex
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| author | Shelah, Saharon |
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| dewey-full | 511/.8 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511/.8 |
| dewey-search | 511/.8 |
| dewey-sort | 3511 18 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | Rev. ed |
| format | Electronic eBook |
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| id | DE-604.BV042317866 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:18:17Z |
| institution | BVB |
| isbn | 9780444702609 0444702601 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027754857 |
| oclc_num | 316571730 |
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| owner_facet | DE-1046 |
| physical | 1 Online-Ressource (xxxiv, 705 p.) |
| psigel | ZDB-33-ESD ZDB-33-EBS FAW_PDA_ESD FLA_PDA_ESD |
| publishDate | 1990 |
| publishDateSearch | 1990 |
| publishDateSort | 1990 |
| publisher | North-Holland |
| record_format | marc |
| series2 | Studies in logic and the foundations of mathematics |
| spelling | Shelah, Saharon Verfasser aut Classification theory and the number of non-isomorphic models S. Shelah Rev. ed Amsterdam North-Holland 1990 1 Online-Ressource (xxxiv, 705 p.) txt rdacontent c rdamedia cr rdacarrier Studies in logic and the foundations of mathematics v. 92 In this research monograph, the author's work on classification and related topics are presented. This revised edition brings the book up to date with the addition of four new chapters as well as various corrections to the 1978 text. The additional chapters X - XIII present the solution to countable first order T of what the author sees as the main test of the theory. In Chapter X the Dimensional Order Property is introduced and it is shown to be a meaningful dividing line for superstable theories. In Chapter XI there is a proof of the decomposition theorems. Chapter XII is the crux of the matter: there is proof that the negation of the assumption used in Chapter XI implies that in models of T a relation can be defined which orders a large subset of mM. This theorem is also the subject of Chapter XIII. Includes bibliographical references (p. 684-690) and indexes Modèles, Théorie des Logica Matematica larpcal Model theory fast Model theory Modelltheorie (DE-588)4114617-7 gnd rswk-swf Klassifikationstheorie (DE-588)4164034-2 gnd rswk-swf Modelltheorie (DE-588)4114617-7 s 1\p DE-604 Klassifikationstheorie (DE-588)4164034-2 s 2\p DE-604 http://www.sciencedirect.com/science/book/9780444702609 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Shelah, Saharon Classification theory and the number of non-isomorphic models Modèles, Théorie des Logica Matematica larpcal Model theory fast Model theory Modelltheorie (DE-588)4114617-7 gnd Klassifikationstheorie (DE-588)4164034-2 gnd |
| subject_GND | (DE-588)4114617-7 (DE-588)4164034-2 |
| title | Classification theory and the number of non-isomorphic models |
| title_auth | Classification theory and the number of non-isomorphic models |
| title_exact_search | Classification theory and the number of non-isomorphic models |
| title_full | Classification theory and the number of non-isomorphic models S. Shelah |
| title_fullStr | Classification theory and the number of non-isomorphic models S. Shelah |
| title_full_unstemmed | Classification theory and the number of non-isomorphic models S. Shelah |
| title_short | Classification theory and the number of non-isomorphic models |
| title_sort | classification theory and the number of non isomorphic models |
| topic | Modèles, Théorie des Logica Matematica larpcal Model theory fast Model theory Modelltheorie (DE-588)4114617-7 gnd Klassifikationstheorie (DE-588)4164034-2 gnd |
| topic_facet | Modèles, Théorie des Logica Matematica Model theory Modelltheorie Klassifikationstheorie |
| url | http://www.sciencedirect.com/science/book/9780444702609 |
| work_keys_str_mv | AT shelahsaharon classificationtheoryandthenumberofnonisomorphicmodels |