Pontryagin duality and the structure of locally compact abelian groups:
These lecture notes begin with an introduction to topological groups and proceed to a proof of the important Pontryagin-van Kampen duality theorem and a detailed exposition of the structure of locally compact abelian groups. Measure theory and Banach algebra are entirely avoided and only a small amo...
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
1977
|
| Series: | London Mathematical Society lecture note series
29 |
| Subjects: | |
| Online Access: | BSB01 FHN01 Volltext |
| Summary: | These lecture notes begin with an introduction to topological groups and proceed to a proof of the important Pontryagin-van Kampen duality theorem and a detailed exposition of the structure of locally compact abelian groups. Measure theory and Banach algebra are entirely avoided and only a small amount of group theory and topology is required, dealing with the subject in an elementary fashion. With about a hundred exercises for the student, it is a suitable text for first-year graduate courses |
| Item Description: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Physical Description: | 1 online resource (viii, 128 pages) |
| ISBN: | 9780511600722 |
| DOI: | 10.1017/CBO9780511600722 |
Staff View
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| 520 | |a These lecture notes begin with an introduction to topological groups and proceed to a proof of the important Pontryagin-van Kampen duality theorem and a detailed exposition of the structure of locally compact abelian groups. Measure theory and Banach algebra are entirely avoided and only a small amount of group theory and topology is required, dealing with the subject in an elementary fashion. With about a hundred exercises for the student, it is a suitable text for first-year graduate courses | ||
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
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| id | DE-604.BV043942303 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:17Z |
| institution | BVB |
| isbn | 9780511600722 |
| language | English |
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| spelling | Morris, Sidney A. 1947- Verfasser aut Pontryagin duality and the structure of locally compact abelian groups Sidney A. Morris Pontryagin Duality & the Structure of Locally Compact Abelian Groups Cambridge Cambridge University Press 1977 1 online resource (viii, 128 pages) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society lecture note series 29 Title from publisher's bibliographic system (viewed on 05 Oct 2015) These lecture notes begin with an introduction to topological groups and proceed to a proof of the important Pontryagin-van Kampen duality theorem and a detailed exposition of the structure of locally compact abelian groups. Measure theory and Banach algebra are entirely avoided and only a small amount of group theory and topology is required, dealing with the subject in an elementary fashion. With about a hundred exercises for the student, it is a suitable text for first-year graduate courses Locally compact Abelian groups Duality theory (Mathematics) Pontrjagin duality Lokal kompakte Abelsche Gruppe (DE-588)4168093-5 gnd rswk-swf Pontrjagin-Dualität (DE-588)4365532-4 gnd rswk-swf Pontrjagin-Dualität (DE-588)4365532-4 s 1\p DE-604 Lokal kompakte Abelsche Gruppe (DE-588)4168093-5 s 2\p DE-604 Erscheint auch als Druckausgabe 978-0-521-21543-5 https://doi.org/10.1017/CBO9780511600722 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Morris, Sidney A. 1947- Pontryagin duality and the structure of locally compact abelian groups Locally compact Abelian groups Duality theory (Mathematics) Pontrjagin duality Lokal kompakte Abelsche Gruppe (DE-588)4168093-5 gnd Pontrjagin-Dualität (DE-588)4365532-4 gnd |
| subject_GND | (DE-588)4168093-5 (DE-588)4365532-4 |
| title | Pontryagin duality and the structure of locally compact abelian groups |
| title_alt | Pontryagin Duality & the Structure of Locally Compact Abelian Groups |
| title_auth | Pontryagin duality and the structure of locally compact abelian groups |
| title_exact_search | Pontryagin duality and the structure of locally compact abelian groups |
| title_full | Pontryagin duality and the structure of locally compact abelian groups Sidney A. Morris |
| title_fullStr | Pontryagin duality and the structure of locally compact abelian groups Sidney A. Morris |
| title_full_unstemmed | Pontryagin duality and the structure of locally compact abelian groups Sidney A. Morris |
| title_short | Pontryagin duality and the structure of locally compact abelian groups |
| title_sort | pontryagin duality and the structure of locally compact abelian groups |
| topic | Locally compact Abelian groups Duality theory (Mathematics) Pontrjagin duality Lokal kompakte Abelsche Gruppe (DE-588)4168093-5 gnd Pontrjagin-Dualität (DE-588)4365532-4 gnd |
| topic_facet | Locally compact Abelian groups Duality theory (Mathematics) Pontrjagin duality Lokal kompakte Abelsche Gruppe Pontrjagin-Dualität |
| url | https://doi.org/10.1017/CBO9780511600722 |
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