TY - BOOK AU - Außenhofer,Lydia AU - Dikranjan,Dikran AU - Giordano Bruno,Anna TI - Topological Groups and the Pontryagin-van Kampen Duality: An Introduction T2 - De Gruyter Studies in Mathematics , SN - 9783110654936 PY - 2021///] CY - Berlin, Boston PB - De Gruyter, KW - MATHEMATICS / Algebra / Abstract KW - bisacsh KW - MATHEMATICS / Geometry / General KW - MATHEMATICS / Group Theory KW - MATHEMATICS / Topology KW - Lokal kompakte Abelsche Gruppe KW - Pontrjagin-Dualität KW - Topologische Gruppe N1 - 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; restricted access; Issued also in print UR - https://www.degruyterbrill.com/isbn/9783110654936 UR - https://www.degruyterbrill.com/document/cover/isbn/9783110654936/original ER -