Pontryagin Duality and the Structure of Locally Compact Abelian Groups
Sidney A. Morris - Pontryagin Duality and the Structure of Locally Compact Abelian Groups
Published: 1977-08-26 | ISBN: 0521215439 | PDF + DJVU | 140 pages | 2.21 MB
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.