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612-822-4611
Pontryagin Duality and the Structure of Locally Compact Abelian Groups

Pontryagin Duality and the Structure of Locally Compact Abelian Groups

Paperback

Series: London Mathematical Society Lecture Note, Book 29

Algebra

ISBN10: 0521215439
ISBN13: 9780521215435
Publisher: Cambridge University Press
Published: Aug 4 1977
Pages: 140
Weight: 0.47
Height: 0.33 Width: 6.00 Depth: 9.00
Language: English
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.

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Algebra