Pontryagin Duality and the Structure of Locally Compact Abelian Groups by Sidney A. Morris | 9780521215435 | Paperback | Barnes & Noble
Pontryagin Duality and the Structure of Locally Compact Abelian Groups

Pontryagin Duality and the Structure of Locally Compact Abelian Groups

by Sidney A. Morris
     
 

ISBN-10: 0521215439

ISBN-13: 9780521215435

Pub. Date: 08/28/1977

Publisher: Cambridge University Press

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

Overview

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.

Product Details

ISBN-13:
9780521215435
Publisher:
Cambridge University Press
Publication date:
08/28/1977
Series:
London Mathematical Society Lecture Note Series, #29
Pages:
140
Product dimensions:
5.98(w) x 9.02(h) x 0.31(d)

Table of Contents

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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