Lectures on algebraic model theory:
Saved in:
| Other Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, Rhode Island
American Mathematical Society
[2002]
|
| Series: | Fields Institute monographs / Fields Institute for Research in Mathematical Sciences
15 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | vii, 111 Seiten Illustrationen, Diagramme |
| ISBN: | 0821827057 9780821827055 |
Staff View
MARC
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| 245 | 1 | 0 | |a Lectures on algebraic model theory |c Bradd Hart, Matthew Valeriote, editors |
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Record in the Search Index
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| adam_text |
LECTURES ON ALGEBRAIC MODEL THEORY / HART, BRADD T. : C2002
TABLE OF CONTENTS / INHALTSVERZEICHNIS
LECTURE SERIES 1. DIFFERENTIAL FIELDS 1
ANAND PILLAY
CHAPTER 1. DIFFERENTIAL FIELDS 3
1.1 BASICS 3
DIMENSION THEORY 8
1.2 VARIETIES, DIFFERENTIAL VARIETIES AND TANGENT BUNDLES 18
VARIETIES 18
DIFFERENTIAL VARIETIES 19
TANGENT SPACES AND ABSTRACT VARIETIES 20
DIFFERENTIAL FORMS 23
1.3 STRONGLY MINIMAL SETS OF D-DEGREE 1 27
1.4 KOLCHIN'S LOGARITHMIC DERIVATIVE 31
1.5 PROLOGATIONS, TORSORS AND THE BUIUM-MANIN HOMOMORPHISM 35
ALGEBRAIC GROUPS: GEOMETRY 37
1.6 MANIN'S CONSTRUCTION 40
BIBLIOGRAPHY 45
LECTURE SERIES 2. LECTURES ON O-MINIMALITY 47
PATRICK SPEISSEGGER
CHAPTER 1. LECTURES ON O-MINIMALITY 49
1.1 ADDING EXPONENTIATION 49
1.2 T-CONVEXITY AND TAME EXTENSIONS 52
1.3 PIECEWISE LINEARITY 56
1.4 THE WILKIE INEQUALITY 58
1.5 THE VALUATION PROPERTY 61
BIBLIOGRAPHY 65
LECTURE SERIES 3. TAME CONGRUGENCE THEORY 67
MATTHIAS CLASEN AND MATTHEW VALERIOTE
CHAPTER 1. THE STRUCTURE OF FINITE ALGEBRA 69
1.1 PALFY'S THEOREM 69
1.2 LOCALIZATION AND RELATIVIZATION 72
1.3 CENTRALITY 79
1.4 LABELLED CONGRUENCE LATTICES 87
CHAPTER 2. VARIETIES 89
2.1 SUBDIRECTLY IRREDUCIBLES 89
2.2 FACTS ABOUT THE ABELIAN CONDITION 92
2.3 THE CASE TYP(0, P) = 2 94
2.4 THE CASE TYP{S} = {1} 95
2.5 THE RESIDUALLY LARGE CONFIGURATION 97
2.6 THE CASE TYPE{S} = {1, 2} 102
2.7 MULTITRACES 104
2.8 PARALLELISM 107
BIBLIOGRAPHY 113.
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT. |
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| building | Verbundindex |
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| dewey-full | 511.3 |
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| discipline | Mathematik |
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| illustrated | Illustrated |
| indexdate | 2024-08-20T00:34:40Z |
| institution | BVB |
| isbn | 0821827057 9780821827055 |
| language | English |
| lccn | 2001053718 |
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| physical | vii, 111 Seiten Illustrationen, Diagramme |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | American Mathematical Society |
| record_format | marc |
| series2 | Fields Institute monographs / Fields Institute for Research in Mathematical Sciences |
| spelling | Lectures on algebraic model theory Bradd Hart, Matthew Valeriote, editors Providence, Rhode Island American Mathematical Society [2002] © 2002 vii, 111 Seiten Illustrationen, Diagramme txt rdacontent n rdamedia nc rdacarrier Fields Institute monographs / Fields Institute for Research in Mathematical Sciences 15 Corps algébriques Modèles, Théorie des Algebraic fields Model theory Algebraischer Körper (DE-588)4141852-9 gnd rswk-swf Modelltheorie (DE-588)4114617-7 gnd rswk-swf Modelltheorie (DE-588)4114617-7 s Algebraischer Körper (DE-588)4141852-9 s DE-604 Hart, Bradd T. 1960- (DE-588)1026342716 edt Valeriote, Matthew edt Erscheint auch als Online-Ausgabe 978-1-4704-3142-6 Fields Institute for Research in Mathematical Sciences Fields Institute monographs 15 (DE-604)BV009737926 15 LoC Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009890319&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Lectures on algebraic model theory Corps algébriques Modèles, Théorie des Algebraic fields Model theory Algebraischer Körper (DE-588)4141852-9 gnd Modelltheorie (DE-588)4114617-7 gnd |
| subject_GND | (DE-588)4141852-9 (DE-588)4114617-7 |
| title | Lectures on algebraic model theory |
| title_auth | Lectures on algebraic model theory |
| title_exact_search | Lectures on algebraic model theory |
| title_full | Lectures on algebraic model theory Bradd Hart, Matthew Valeriote, editors |
| title_fullStr | Lectures on algebraic model theory Bradd Hart, Matthew Valeriote, editors |
| title_full_unstemmed | Lectures on algebraic model theory Bradd Hart, Matthew Valeriote, editors |
| title_short | Lectures on algebraic model theory |
| title_sort | lectures on algebraic model theory |
| topic | Corps algébriques Modèles, Théorie des Algebraic fields Model theory Algebraischer Körper (DE-588)4141852-9 gnd Modelltheorie (DE-588)4114617-7 gnd |
| topic_facet | Corps algébriques Modèles, Théorie des Algebraic fields Model theory Algebraischer Körper Modelltheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009890319&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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