Geometric stability theory:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Oxford
Clarendon Press
1996
|
| Series: | Oxford logic guides
32 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 361 S. |
| ISBN: | 019853437X |
Staff View
MARC
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Record in the Search Index
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|---|---|
| adam_text | Contents
Introduction 1
1 Stability theory 7
1 Structures and imaginary elements 7
2 Forking 13
3 Ranks 30
4 Miscellaneous facts about stable theories 40
4.1 A stability and A saturation 40
4.2 k(T) and the category of a models 41
4.3 Orthogonality and domination 43
4.4 Weight 46
4.5 Regular types 48
5 Weakly minimal sets and unidimensional theories 52
6 Stable groups 62
2 The classical finite rank theory 75
1 Geometries and pregeometries 75
2 Minimal types and linearity 79
3 The dichotomy theorem 82
4 Zilber s theorem 85
5 Coordinatization in theories of finite [/ rank 99
6 Totally categorical structures 106
3 Quasiflnite axiomatizability 114
1 co categoricity and automorphism groups 114
2 cu categorical, co stable structures 122
3 Nice enumerations and a special case of the main theorem 125
4 Pregood sets and good sets 134
5 The proof of quasifinite axiomatizability 144
4 1 based theories and groups 152
1 Weakly normal formulae and pseudoplanes 152
2 1 based trivial theories 158
3 Weight and theories with no dense forking chains 164
4 1 based groups 168
ix
x Contents
5 Minimal locally modular groups 174
6 Reducts of 1 based theories 181
5 Groups and geometries 185
1 Locally modular non trivial minimal types: construction of
a group 185
2 The geometry of a locally modular type 192
3 A variant: pseudolinearity 200
4 The group configuration for stable theories 204
6 Unidimensional theories 214
1 Groups and envelopes 214
2 Theories categorical in a higher power 221
3 Countable small unidimensional theories 228
4 Newelski s lemma 238
5 Countable models of unidimensional theories 244
7 Regular types 253
1 p weight 253
2 Local modularity 264
3 Group existence theorems 275
4 Internality 278
5 p simple groups 286
6 Geometries 294
8 Superstable theories 298
1 Analysability 298
2 Definability of analysability and weight 306
3 Existence of regular types 319
4 NDOP and types depth 0 325
5 Generalized existence and dichotomy theorems 332
Notes on chapters 342
References 352
Index 359
|
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| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:03:47Z |
| institution | BVB |
| isbn | 019853437X |
| language | English |
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| owner_facet | DE-12 DE-739 DE-29T DE-11 |
| physical | X, 361 S. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | Clarendon Press |
| record_format | marc |
| series | Oxford logic guides |
| series2 | Oxford logic guides |
| spelling | Pillay, Anand 1951- Verfasser (DE-588)1102930040 aut Geometric stability theory Anand Pillay Oxford Clarendon Press 1996 X, 361 S. txt rdacontent n rdamedia nc rdacarrier Oxford logic guides 32 Lógica matemática larpcal Modeltheorie gtt Teoria dos modelos larpcal Model theory Stabilitätstheorie Logik (DE-588)4433824-7 gnd rswk-swf Modelltheorie (DE-588)4114617-7 gnd rswk-swf Modelltheorie (DE-588)4114617-7 s DE-604 Stabilitätstheorie Logik (DE-588)4433824-7 s Oxford logic guides 32 (DE-604)BV000013997 32 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007428108&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Pillay, Anand 1951- Geometric stability theory Oxford logic guides Lógica matemática larpcal Modeltheorie gtt Teoria dos modelos larpcal Model theory Stabilitätstheorie Logik (DE-588)4433824-7 gnd Modelltheorie (DE-588)4114617-7 gnd |
| subject_GND | (DE-588)4433824-7 (DE-588)4114617-7 |
| title | Geometric stability theory |
| title_auth | Geometric stability theory |
| title_exact_search | Geometric stability theory |
| title_full | Geometric stability theory Anand Pillay |
| title_fullStr | Geometric stability theory Anand Pillay |
| title_full_unstemmed | Geometric stability theory Anand Pillay |
| title_short | Geometric stability theory |
| title_sort | geometric stability theory |
| topic | Lógica matemática larpcal Modeltheorie gtt Teoria dos modelos larpcal Model theory Stabilitätstheorie Logik (DE-588)4433824-7 gnd Modelltheorie (DE-588)4114617-7 gnd |
| topic_facet | Lógica matemática Modeltheorie Teoria dos modelos Model theory Stabilitätstheorie Logik Modelltheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007428108&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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