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

By: Contributor(s): Material type: TextLanguage: Series: De Gruyter Studies in Mathematics ; 83Publisher: Berlin Boston De Gruyter, [2021]Copyright date: ©2022Description: 1 online resource (XIV, 378 p.)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783110654936
Subject(s): Additional physical formats: No title; No titleOnline resources: Available additional physical forms:
  • Issued also in print.
Contents:
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
Title is part of eBook package: eBook Package Complete 2021 / eBook-Paket Gesamt 2021 De GruyterTitle is part of eBook package: eBook Package Mathematics 2021 / eBook-Paket Mathematik 2021 De GruyterTitle is part of eBook package: eBook Package Complete 2021 English / eBook-Paket Gesamt 2021 Englisch De GruyterTitle is part of eBook package: eBook Package Mathematics 2021 English / eBook-Paket Mathematik 2021 Englisch De GruyterTitle is part of eBook package: DG Plus DeG Package 2022 Part 1 De GruyterTitle is part of eBook package: EBOOK PACKAGE Mathematics 2021 DGB - ALL LANG De GruyterTitle is part of eBook package: EBOOK PACKAGE Mathematics 2021 DGB - ENG De Gruyter
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Electronic Books CUTN Central Library Link to resource Available EB04765

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

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http://purl.org/coar/access_right/c_16ec

Issued also in print.

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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.

Description based on online resource; title from PDF title page (publisher's Web site, viewed March 03 2026)

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