Pontryagin Duality and the Structure of Locally Compact Abelian Groups

Häftad, Engelska, 1977

Del 29 i serien London Mathematical Society Lecture Note Series

725 kr

Beställningsvara. Skickas inom 3-6 vardagar. Fri frakt över 249 kr.

Beskrivning

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.

Produktinformation

Utgivningsdatum:1977-08-04
Mått:152 x 228 x 22 mm
Vikt:550 g
Format:Häftad
Språk:Engelska
Serie:London Mathematical Society Lecture Note Series
Antal sidor:140
Förlag:Cambridge University Press
ISBN:9780521215435

Utforska kategorier

Algebra inom Naturvetenskap och teknik

Innehållsförteckning

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.

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Pontryagin Duality and the Structure of Locally Compact Abelian Groups

AvSidney A. Morris,N. J. Hitchin

Häftad, Engelska, 1977

Del 29 i serien London Mathematical Society Lecture Note Series

725 kr

Beställningsvara. Skickas inom 3-6 vardagar. Fri frakt över 249 kr.

Beskrivning

Produktinformation

Utgivningsdatum:1977-08-04
Mått:152 x 228 x 22 mm
Vikt:550 g
Format:Häftad
Språk:Engelska
Serie:London Mathematical Society Lecture Note Series
Antal sidor:140
Förlag:Cambridge University Press
ISBN:9780521215435

Utforska kategorier

Algebra inom Naturvetenskap och teknik

Innehållsförteckning

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.