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.
- ISBN13 9780511891878
- Publish Date 19 January 2011 (first published 1 January 1977)
- Publish Status Active
- Publish Country GB
- Publisher Cambridge University Press
- Imprint Cambridge University Press (Virtual Publishing)
- Format eBook
- Language English