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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.
|
| Colección: | London Mathematical Society lecture note series ;
29. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Morris, Sidney A., |d 1947- | |
| 245 | 1 | 0 | |a Pontryagin duality and the structure of locally compact abelian groups / |c Sidney A. Morris. |
| 260 | |a Cambridge ; |a New York : |b Cambridge University Press, |c 1977. | ||
| 300 | |a 1 online resource (viii, 128 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a London Mathematical Society lecture note series ; |v 29 | |
| 504 | |a Includes bibliographical references (pages 119-120) and index. | ||
| 588 | 0 | |a Print version record. | |
| 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. | ||
| 505 | 0 | |a 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 | |
| 505 | 8 | |a 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 | |
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Locally compact Abelian groups. | |
| 650 | 0 | |a Duality theory (Mathematics) | |
| 650 | 0 | |a Pontrjagin duality. | |
| 650 | 6 | |a Abel, Groupes localement compacts d' | |
| 650 | 6 | |a Dualité, Théorie de la (Mathématiques) | |
| 650 | 6 | |a Groupes abéliens localement compacts. | |
| 650 | 6 | |a Principe de dualité (Mathématiques) | |
| 650 | 6 | |a Dualité de Pontrjagin. | |
| 650 | 7 | |a MATHEMATICS |x Algebra |x Linear. |2 bisacsh | |
| 650 | 7 | |a Duality theory (Mathematics) |2 fast | |
| 650 | 7 | |a Locally compact Abelian groups |2 fast | |
| 650 | 7 | |a Pontrjagin duality |2 fast | |
| 650 | 7 | |a Lokal kompakte Abelsche Gruppe |2 gnd | |
| 650 | 7 | |a Pontrjagin-Dualität |2 gnd | |
| 776 | 0 | 8 | |i Print version: |a Morris, Sidney A., 1947- |t Pontryagin duality and the structure of locally compact abelian groups. |d Cambridge ; New York : Cambridge University Press, 1977 |z 0521215439 |w (DLC) 76053519 |w (OCoLC)2695002 |
| 830 | 0 | |a London Mathematical Society lecture note series ; |v 29. | |
| 856 | 4 | 0 | |u https://ebsco.uam.elogim.com/login.aspx?direct=true&scope=site&db=nlebk&AN=552425 |z Texto completo |
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