Topological Groups and the Pontryagin-van Kampen Duality : : An Introduction / / Dikran Dikranjan, Anna Giordano Bruno, Lydia Außenhofer.

• Superior document: Title is part of eBook package: De Gruyter DG Plus DeG Package 2022 Part 1
• VerfasserIn: Außenhofer, Lydia,; Dikranjan, Dikran,; Giordano Bruno, Anna,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2021]; ©2022
• Year of Publication: 2021
• Language: English
• Series: De Gruyter Studies in Mathematics , 83
• Physical Description: 1 online resource (XIV, 378 p.)
• Other title: 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
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9783110654936; 9783110766820; 9783110754001; 9783110753776; 9783110754131; 9783110753905
• ISSN: 0179-0986
• DOI: 10.1515/9783110654936
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: Dikran Dikranjan, Anna Giordano Bruno, Lydia Außenhofer.

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.