Uncountably categorical theories:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, RI
American Math. Society
1993
|
| Schriftenreihe: | Translations of mathematical monographs
117 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Aus d. Russ. übers. |
| Beschreibung: | VI, 122 S. |
| ISBN: | 0821845861 |
Internformat
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| 240 | 1 | 0 | |a Nesčetno kategoričnye teorii |
| 245 | 1 | 0 | |a Uncountably categorical theories |c Boris Zilber |
| 264 | 1 | |a Providence, RI |b American Math. Society |c 1993 | |
| 300 | |a VI, 122 S. | ||
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Datensatz im Suchindex
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|---|---|
| adam_text | Contents
Introduction 1
Chapter I. Survey of Preliminary Results and Terminology 11
§ 1. Notation and prerequisites about uncountably categorical
theories 11
§2. Rank and independence 13
§3. Definability 18
§4. Groups definable in uncountably categorical structures 20
§5. Totally categorical structures 22
Chapter II. Three Types of Uncountably Categorical Structures 25
§1. Combinatorial definitions and preliminary results 25
§2. Pseudoplanes in strongly minimal structures 28
§3. The Trichotomy Theorem 34
§4. Definable groups in different types of uncountably categorical
structures 38
Chapter III. Classification of Infinite Locally Finite Homogeneous
Pregeometries 41
§1. Quasidesigns 41
§2. Semiprojectivity 47
§3. Translation group 51
§4. Construction of a nontrivial quasidesign 57
§5. A strongly minimal group as a vector space 64
Chapter IV. Description of Strongly Minimal Quasialgebras 73
§1. Translations on a strongly minimal quasialgebra 74
§2. Nonlinear translations 77
§3. Vector space over a strongly minimal quasialgebra 82
Chapter V. Global Structure of Uncountably Categorical Structures 89
§1. Equivalence generated by the relationship between definable
subsets 90
§2. Definable groups of automorphisms 93
§3. Ladder theorems 99
V
vi CONTENTS
§4. Envelopes and the problem of finite axiomatizability of totally
categorical theories 105
§5. Another version of the proof of the finite submodel property
for totally categorical structures 110
Bibliography 117
Subject Index 121
|
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| discipline | Mathematik |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:08:51Z |
| institution | BVB |
| isbn | 0821845861 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-005094860 |
| oclc_num | 246828682 |
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| physical | VI, 122 S. |
| publishDate | 1993 |
| publishDateSearch | 1993 |
| publishDateSort | 1993 |
| publisher | American Math. Society |
| record_format | marc |
| series | Translations of mathematical monographs |
| series2 | Translations of mathematical monographs |
| spelling | Zilber, Boris I. Verfasser aut Nesčetno kategoričnye teorii Uncountably categorical theories Boris Zilber Providence, RI American Math. Society 1993 VI, 122 S. txt rdacontent n rdamedia nc rdacarrier Translations of mathematical monographs 117 Aus d. Russ. übers. Kategorizität (DE-588)4209330-2 gnd rswk-swf Modelltheorie (DE-588)4114617-7 gnd rswk-swf Kategorizität (DE-588)4209330-2 s Modelltheorie (DE-588)4114617-7 s DE-604 Translations of mathematical monographs 117 (DE-604)BV000002394 117 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005094860&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Zilber, Boris I. Uncountably categorical theories Translations of mathematical monographs Kategorizität (DE-588)4209330-2 gnd Modelltheorie (DE-588)4114617-7 gnd |
| subject_GND | (DE-588)4209330-2 (DE-588)4114617-7 |
| title | Uncountably categorical theories |
| title_alt | Nesčetno kategoričnye teorii |
| title_auth | Uncountably categorical theories |
| title_exact_search | Uncountably categorical theories |
| title_full | Uncountably categorical theories Boris Zilber |
| title_fullStr | Uncountably categorical theories Boris Zilber |
| title_full_unstemmed | Uncountably categorical theories Boris Zilber |
| title_short | Uncountably categorical theories |
| title_sort | uncountably categorical theories |
| topic | Kategorizität (DE-588)4209330-2 gnd Modelltheorie (DE-588)4114617-7 gnd |
| topic_facet | Kategorizität Modelltheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005094860&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000002394 |
| work_keys_str_mv | AT zilberborisi nescetnokategoricnyeteorii AT zilberborisi uncountablycategoricaltheories |