Topological model theory:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
1980
|
| Schriftenreihe: | Lecture notes in mathematics
769 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | X, 149 S. |
| ISBN: | 3540097325 0387097325 |
Internformat
MARC
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| 100 | 1 | |a Flum, Jörg |d 1944- |e Verfasser |0 (DE-588)121343391 |4 aut | |
| 245 | 1 | 0 | |a Topological model theory |c Jörg Flum ; Martin Ziegler |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1980 | |
| 300 | |a X, 149 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 490 | 1 | |a Lecture notes in mathematics |v 769 | |
| 650 | 4 | |a Espaces topologiques | |
| 650 | 4 | |a Modèles, Théorie des | |
| 650 | 4 | |a Model theory | |
| 650 | 4 | |a Topological spaces | |
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| 650 | 0 | 7 | |a Topologische Modelltheorie |0 (DE-588)4670312-3 |2 gnd |9 rswk-swf |
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Datensatz im Suchindex
| _version_ | 1804115627359600640 |
|---|---|
| adam_text | TABLE OF CONTENTS
Introduction
Part I
§ 1. Preliminaries 1
§ 2. The language L 5
§ 3. Beginning topological model theory 7
§ 4. Ehrenfeucht-Frai sse theorem 12
§ 5. Interpolation and preservation 25
§ 6. Products and sums 31
§ 7. Definability 38
§ 8. Lindströms theorem and related locjics 48
§ 9. Omitting types theorem 61
§10- Jt 65
Historical remarks 75
References 76
Port II
§ 1. Topological Spaces 78
A Separation axioms 78
B The decidability of the theory of T^-spaces 88
C The elementary types of T_-spaces 95
D Finitely axiomatizable and N -categorical T.-spaces 103
o *j
§ 2. Topological abelian groups 113
§ 3. Topological fields 120
A Characterization of topological fields 120
B Valued and ordered fields 123
C Real and complex numbers 127
§ 4. Topological vector Spaces 129
A Locally bounded real vector Spaces 130
B Locally bounded real vector Spaces with a distinguished
subspace 134
VI
C Banach Spaces with linear mappings 139
D Dual pairs of normed Spaces 140
Mistorical remarks 145
References 146
Subject index 148
Index of Symbols 150
Errata ., 151
|
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| author | Flum, Jörg 1944- Ziegler, Martin 1948- |
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| dewey-full | 515.7/3 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis 510 - Mathematics |
| dewey-raw | 515.7/3 510 |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV001233767 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:25:37Z |
| institution | BVB |
| isbn | 3540097325 0387097325 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-000742796 |
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| physical | X, 149 S. |
| publishDate | 1980 |
| publishDateSearch | 1980 |
| publishDateSort | 1980 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Flum, Jörg 1944- Verfasser (DE-588)121343391 aut Topological model theory Jörg Flum ; Martin Ziegler Berlin [u.a.] Springer 1980 X, 149 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 769 Espaces topologiques Modèles, Théorie des Model theory Topological spaces Modelltheorie (DE-588)4114617-7 gnd rswk-swf Topologische Modelltheorie (DE-588)4670312-3 gnd rswk-swf Modelltheorie (DE-588)4114617-7 s DE-604 Topologische Modelltheorie (DE-588)4670312-3 s Ziegler, Martin 1948- Verfasser (DE-588)1056897929 aut Lecture notes in mathematics 769 (DE-604)BV000676446 769 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000742796&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Flum, Jörg 1944- Ziegler, Martin 1948- Topological model theory Lecture notes in mathematics Espaces topologiques Modèles, Théorie des Model theory Topological spaces Modelltheorie (DE-588)4114617-7 gnd Topologische Modelltheorie (DE-588)4670312-3 gnd |
| subject_GND | (DE-588)4114617-7 (DE-588)4670312-3 |
| title | Topological model theory |
| title_auth | Topological model theory |
| title_exact_search | Topological model theory |
| title_full | Topological model theory Jörg Flum ; Martin Ziegler |
| title_fullStr | Topological model theory Jörg Flum ; Martin Ziegler |
| title_full_unstemmed | Topological model theory Jörg Flum ; Martin Ziegler |
| title_short | Topological model theory |
| title_sort | topological model theory |
| topic | Espaces topologiques Modèles, Théorie des Model theory Topological spaces Modelltheorie (DE-588)4114617-7 gnd Topologische Modelltheorie (DE-588)4670312-3 gnd |
| topic_facet | Espaces topologiques Modèles, Théorie des Model theory Topological spaces Modelltheorie Topologische Modelltheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000742796&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000676446 |
| work_keys_str_mv | AT flumjorg topologicalmodeltheory AT zieglermartin topologicalmodeltheory |