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.
Cambridge University Press; August 1977
- ISBN 9780511891878
- Read online, or download in secure PDF format
- Title: Pontryagin Duality and the Structure of Locally Compact Abelian Groups
- Author: Sidney A. Morris
Imprint: Cambridge University Press