Topological Groups and the Pontryagin-van Kampen Duality : An Introduction /
Außenhofer, Lydia,
Topological Groups and the Pontryagin-van Kampen Duality : An Introduction / Lydia Außenhofer, Dikran Dikranjan, Anna Giordano Bruno. - 1 online resource (XIV, 378 p.) - De Gruyter Studies in Mathematics , 83 0179-0986 ; .
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 http://purl.org/coar/access_right/c_16ec
Mode of access: Internet via World Wide Web.
Lydia Außenhofer, University of Passau, Germany; Dikran Dikranjan and Anna Giordano Bruno, University of Udine, Italy.
In English.
9783110654936
10.1515/9783110654936 doi
MATHEMATICS / Algebra / Abstract.
MATHEMATICS / Geometry / General.
MATHEMATICS / Group Theory.
MATHEMATICS / Topology.
Lokal kompakte Abelsche Gruppe Pontrjagin-Dualität Topologische Gruppe
Topological Groups and the Pontryagin-van Kampen Duality : An Introduction / Lydia Außenhofer, Dikran Dikranjan, Anna Giordano Bruno. - 1 online resource (XIV, 378 p.) - De Gruyter Studies in Mathematics , 83 0179-0986 ; .
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 http://purl.org/coar/access_right/c_16ec
Mode of access: Internet via World Wide Web.
Lydia Außenhofer, University of Passau, Germany; Dikran Dikranjan and Anna Giordano Bruno, University of Udine, Italy.
In English.
9783110654936
10.1515/9783110654936 doi
MATHEMATICS / Algebra / Abstract.
MATHEMATICS / Geometry / General.
MATHEMATICS / Group Theory.
MATHEMATICS / Topology.
Lokal kompakte Abelsche Gruppe Pontrjagin-Dualität Topologische Gruppe