UID:
almafu_9960054789602883
Format:
1 online resource (XIV, 378 p.)
ISBN:
9783110654936
Series Statement:
De Gruyter Studies in Mathematics , 83
Content:
This book provides an introduction to topological groups and the structure theory of locally compact abelian groups, with a special emphasis on Pontryagin-van Kampen duality, including a completely self-contained elementary proof of the duality theorem. Further related topics and applications are treated in separate chapters and in the appendix.
Note:
Frontmatter --
,
Preface --
,
Contents --
,
1 Introduction --
,
2 Definition and examples --
,
3 General properties of topological groups --
,
4 Markov’s problems --
,
5 Cardinal invariants and metrizability --
,
6 Connectedness in topological groups --
,
7 Completeness and completion --
,
8 Compactness and local compactness – a first encounter --
,
9 Properties of ℝn and its subgroups --
,
10 Subgroups of compact groups --
,
11 The Følner theorem --
,
12 Almost periodic functions and Haar integrals --
,
13 The Pontryagin-van Kampen duality --
,
14 Applications of the duality theorem --
,
15 Pseudocompact groups --
,
16 Topological rings, fields, and modules --
,
A Background on groups --
,
B Background on topological spaces --
,
C Background on categories and functors --
,
Bibliography --
,
Index of symbols --
,
Index
,
In English.
Additional Edition:
ISBN 9783110653557
Additional Edition:
ISBN 9783110653496
Language:
English
DOI:
10.1515/9783110654936
URL:
https://doi.org/10.1515/9783110654936
URL:
https://www.degruyter.com/isbn/9783110654936
URL:
https://doi.org/10.1515/9783110654936
URL:
https://www.degruyter.com/isbn/9783110654936
Bookmarklink