Classifications of Abelian groups and Pontrjagin duality:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Amsterdam
Gordon and Breach
1998
|
| Series: | Algebra, logic and applications
10 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VI, 173 S. |
| ISBN: | 9056991698 |
Staff View
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Record in the Search Index
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| adam_text | Contents
Introduction 1
Chapter 1. Totally Projective Groups 7
1. Ulm s Theorem for Totally Projective Groups 7
2. Characterization of Totally Projective Groups 15
Chapter 2. Balanced Projective Groups 27
1. Local Theory 28
2. Global Theory 34
Chapter 3. Warfield Groups 58
1. Local Theory 59
2. Global Theory 71
Chapter 4. Characters and Duality of Locally Compact
Abelian Groups 109
1. The Duality Theorem 109
2. Annihilators 111
3. Duality between Discrete and Compact Groups 114
4. Duality between Exact Sequences 118
5. Dualization of the Tensor Product 119
Chapter 5. The Duals of Totally Projective Groups 123
1. Smart and Duotype Subgroups, Simply Given Groups 123
2. Characterization and Invariants 127
Chapter 6. The Duals of Warfield Groups 131
1. The Duals of Warfield Modules 131
2. The Duals of Warfield Groups 144
V
vi Contents
Chapter 7. The Duals of Butler Groups 155
1. Butler Groups 155
2. The Duals of Butler Groups 159
Notation 166
Bibliography 168
Index 172
|
| any_adam_object | 1 |
| author | Loth, Peter |
| author_GND | (DE-588)1192517423 |
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| ctrlnum | (OCoLC)439913478 (DE-599)BVBBV017879572 |
| discipline | Mathematik |
| format | Book |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-09T19:22:49Z |
| institution | BVB |
| isbn | 9056991698 |
| language | English |
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| physical | VI, 173 S. |
| publishDate | 1998 |
| publishDateSearch | 1998 |
| publishDateSort | 1998 |
| publisher | Gordon and Breach |
| record_format | marc |
| series | Algebra, logic and applications |
| series2 | Algebra, logic and applications |
| spelling | Loth, Peter Verfasser (DE-588)1192517423 aut Classifications of Abelian groups and Pontrjagin duality Peter Loth Amsterdam Gordon and Breach 1998 VI, 173 S. txt rdacontent n rdamedia nc rdacarrier Algebra, logic and applications 10 Abelsche Gruppe (DE-588)4140988-7 gnd rswk-swf Abelsche Gruppe (DE-588)4140988-7 s DE-604 Algebra, logic and applications 10 (DE-604)BV002639285 10 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010726843&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Loth, Peter Classifications of Abelian groups and Pontrjagin duality Algebra, logic and applications Abelsche Gruppe (DE-588)4140988-7 gnd |
| subject_GND | (DE-588)4140988-7 |
| title | Classifications of Abelian groups and Pontrjagin duality |
| title_auth | Classifications of Abelian groups and Pontrjagin duality |
| title_exact_search | Classifications of Abelian groups and Pontrjagin duality |
| title_full | Classifications of Abelian groups and Pontrjagin duality Peter Loth |
| title_fullStr | Classifications of Abelian groups and Pontrjagin duality Peter Loth |
| title_full_unstemmed | Classifications of Abelian groups and Pontrjagin duality Peter Loth |
| title_short | Classifications of Abelian groups and Pontrjagin duality |
| title_sort | classifications of abelian groups and pontrjagin duality |
| topic | Abelsche Gruppe (DE-588)4140988-7 gnd |
| topic_facet | Abelsche Gruppe |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010726843&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV002639285 |
| work_keys_str_mv | AT lothpeter classificationsofabeliangroupsandpontrjaginduality |