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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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge ; New York :
Cambridge University Press,
1977.
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| Colección: | London Mathematical Society lecture note series ;
29. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Cover; Title; Copyright; Contents; Preface; 1. Introduction to topological groups; Exercise set one; Exercise Set Two; Exercise Set Three; Exercise Set Four; 2. Subgroups and quotient groups of Rn; Exercise Set Five; 3. Uniform spaces and dual groups; Exercise Set Six; Exercise Set Seven; 4. Introduction to the Pontryagin-van Kampen duality theorem; Exercise Set Eight; Exercise Set Nine; 5. Duality for compact and discrete groups; Exercise Set Ten; Exercise Set Eleven; 6. The duality theorem and the principal structure theorem; Exercise Set Twelve; Exercise Set Thirteen
- 7. Consequences of the duality theoremExercise Set Fourteen; Exercise Set Fifteen; 8. Locally Euclidean and NSS-groups; Exercise Set Sixteen; 9. Non-abelian groups; References; Index of terms; Index of Exercises, propositions and theorems