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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| Format: | eBook |
| Language: | English |
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Cambridge
Cambridge University Press
1977
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| Series: | London Mathematical Society lecture note series
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| Subjects: | |
| Online Access: | |
| Collection: | Cambridge Books Online - Collection details see MPG.ReNa |
| 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 |
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| Physical Description: | viii, 128 pages digital |
| ISBN: | 9780511600722 |