Pontryagin Duality and the Structure of Locally Compact Abelian Groups
Pontryagin Duality and the Structure of Locally Compact Abelian Groups
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$50.00
USDThese 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
August 1977Paperback
9780521215435
140 pages
228 × 152 × 22 mm
0.55kg
Available
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.
