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Libro
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- Genere: Libro
- Lingua: Inglese
- Editore: Cambridge University Press
- Pubblicazione: 08/1977
Pontryagin Duality and the Structure of Locally Compact Abelian Groups
morris sidney a.
49,98 €
47,48 €
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TRAMA
These lecture notes begin with an introduction to topological groups.NOTE EDITORE
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.SOMMARIO
1. Introduction to topological groups; 2. Subgroups and quotient groups of Rn; 3. Uniform spaces and dual groups; 4. Introduction to the Pontryagin-van Kampen duality theorem; 5. Duality for compact and discrete groups; 6. The duality theorem and the principal structure theorem; 7. Consequences of the duality theorem; 8. Locally Euclidean and NSS-groups; 9. Non-abelian groups.PREFAZIONE
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.ALTRE INFORMAZIONI
- Condizione: Nuovo
- ISBN: 9780521215435
- Collana: London Mathematical Society Lecture Note Series
- Dimensioni: 229 x 8 x 152 mm Ø 220 gr
- Formato: Brossura
- Pagine Arabe: 140