UID:
almafu_9959239098702883
Format:
1 online resource (viii, 128 pages) :
,
digital, PDF file(s).
ISBN:
1-139-88373-9
,
1-107-36578-3
,
1-107-37051-5
,
1-107-36087-0
,
1-107-36931-2
,
1-299-40359-X
,
1-107-36332-2
,
0-511-60072-0
Series Statement:
London Mathematical Society lecture note series ; 29
Content:
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.
Note:
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
,
Cover; Title; Copyright; Contents; Preface; 1. Introduction to topological groups; Exercise set one; Exercise Set Two; Exercise Set Three; Exercise Set Four; 2. Subgroups and quotient groups of Rn; Exercise Set Five; 3. Uniform spaces and dual groups; Exercise Set Six; Exercise Set Seven; 4. Introduction to the Pontryagin-van Kampen duality theorem; Exercise Set Eight; Exercise Set Nine; 5. Duality for compact and discrete groups; Exercise Set Ten; Exercise Set Eleven; 6. The duality theorem and the principal structure theorem; Exercise Set Twelve; Exercise Set Thirteen
,
7. Consequences of the duality theoremExercise Set Fourteen; Exercise Set Fifteen; 8. Locally Euclidean and NSS-groups; Exercise Set Sixteen; 9. Non-abelian groups; References; Index of terms; Index of Exercises, propositions and theorems
,
English
Additional Edition:
ISBN 0-521-21543-9
Language:
English
URL:
https://doi.org/10.1017/CBO9780511600722
