Localisations and Grothendieck categories:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin
Dt. Verl. d. Wiss.
1975
|
| Schriftenreihe: | Mathematische Monographien
13 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 217 S. graph. Darst. |
Internformat
MARC
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Datensatz im Suchindex
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|---|---|
| adam_text | Contents
Introduction 11
1. Relative Extension Functors
1.1. Basic Notations 15
1.2. Relative Extension Functors 24
2. Extensions and Localisations in Grothendieck Categories
2.1. Extensions in Grothendieck Categories 35
2.2. Localisations in Grothendieck Categories 39
3. Ideals
3.1. Definition and Fundamental Properties of Ideals 45
3.2. Invertihle Ideals and Quotients 63
3.3. Exact Ideals 69
4. Monoidal Transformations ol Grothendieck Categories
4.1. The Category of ^-Filtered Objects 75
4.2. Abelisation of Additive Categories with Direct and Inverse Images 79
4.3. Supplements to the Category of .F-Filtered Objects 91
4.4. The Category Montra (F, C) 100
5. Geometric Categories
5.0. Summary 133
5.1. Definition and basic properties of geometric categories 134
5.2. Morphisms of Geometric Categories 141
5.3. How to Glue Together Geometric Categories 149
6. Relative Extension Functors and Localisations of Geometric Categories
6.1. Geometric Categories of Finite Type 165
6.2. Relative Extension Functors in Geometric Categories of Finite Type 166
6.3. Localisations in Geometric Categories of Finite Type 176
7. The Embedding Theorem
7.0. Summary 186
7.1. Geometric Realisations of Geometric Categories 187
7.2. Proof of the Embedding Theorem 191
References 211
Denotations 213
Index 215
|
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| id | DE-604.BV005116410 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T16:23:07Z |
| institution | BVB |
| language | English |
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| physical | 217 S. graph. Darst. |
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| publishDate | 1975 |
| publishDateSearch | 1975 |
| publishDateSort | 1975 |
| publisher | Dt. Verl. d. Wiss. |
| record_format | marc |
| series | Mathematische Monographien |
| series2 | Mathematische Monographien |
| spelling | Budach, Lothar 1935-2007 Verfasser (DE-588)1013465326 aut Localisations and Grothendieck categories Lothar Budach ; Rolf-Peter Holzapfel* Berlin Dt. Verl. d. Wiss. 1975 217 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Mathematische Monographien 13 Kategorie Mathematik (DE-588)4129930-9 gnd rswk-swf Grothendieck-Kategorie (DE-588)4158323-1 gnd rswk-swf Grothendieck-Kategorie (DE-588)4158323-1 s DE-604 Kategorie Mathematik (DE-588)4129930-9 s Holzapfel, Rolf-Peter 1942- Verfasser (DE-588)117712817 aut Mathematische Monographien 13 (DE-604)BV000892782 13 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003144322&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Budach, Lothar 1935-2007 Holzapfel, Rolf-Peter 1942- Localisations and Grothendieck categories Mathematische Monographien Kategorie Mathematik (DE-588)4129930-9 gnd Grothendieck-Kategorie (DE-588)4158323-1 gnd |
| subject_GND | (DE-588)4129930-9 (DE-588)4158323-1 |
| title | Localisations and Grothendieck categories |
| title_auth | Localisations and Grothendieck categories |
| title_exact_search | Localisations and Grothendieck categories |
| title_full | Localisations and Grothendieck categories Lothar Budach ; Rolf-Peter Holzapfel* |
| title_fullStr | Localisations and Grothendieck categories Lothar Budach ; Rolf-Peter Holzapfel* |
| title_full_unstemmed | Localisations and Grothendieck categories Lothar Budach ; Rolf-Peter Holzapfel* |
| title_short | Localisations and Grothendieck categories |
| title_sort | localisations and grothendieck categories |
| topic | Kategorie Mathematik (DE-588)4129930-9 gnd Grothendieck-Kategorie (DE-588)4158323-1 gnd |
| topic_facet | Kategorie Mathematik Grothendieck-Kategorie |
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