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Pontryagin Duality and the Structure of Locally Compact Abelian Groups : Anthropological Studies of Systems of Meaning - Sidney A. Morris

Pontryagin Duality and the Structure of Locally Compact Abelian Groups

Anthropological Studies of Systems of Meaning

Paperback Published: 3rd October 1977
ISBN: 9780521215435
Number Of Pages: 140

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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.

Introduction to topological groups
Subgroups and quotient groups of Rn
Uniform spaces and dual groups
Introduction to the Pontryagin-van Kampen duality theorem
Duality for compact and discrete groups
The duality theorem and the principal structure theorem
Consequences of the duality theorem
Locally Euclidean and NSS-groups
Non-abelian groups
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521215435
ISBN-10: 0521215439
Series: Anthropological Studies of Systems of Meaning
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 140
Published: 3rd October 1977
Publisher: CAMBRIDGE UNIV PR
Country of Publication: GB
Dimensions (cm): 22.86 x 15.24  x 0.84
Weight (kg): 0.21

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