Pontryagin Duality and the Structure of Locally Compact Abelian Groups

Pontryagin Duality and the Structure of Locally Compact Abelian Groups

by Sidney A. Morris
     
 

These lecture notes begin with an introduction to topological groups.See more details below

Overview

These lecture notes begin with an introduction to topological groups.

Product Details

ISBN-13:
9780521215435
Publisher:
Cambridge University Press
Publication date:
01/28/2008
Series:
London Mathematical Society Lecture Note Series, #29
Pages:
140
Product dimensions:
5.98(w) x 9.02(h) x 0.31(d)

Meet the Author

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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