Topological Groups and the Pontryagin-van Kampen Duality : : An Introduction / / 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 tr...
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| Superior document: | Title is part of eBook package: De Gruyter DG Plus DeG Package 2022 Part 1 |
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| Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2021] ©2022 |
| Year of Publication: | 2021 |
| Language: | English |
| Series: | De Gruyter Studies in Mathematics ,
83 |
| Online Access: | |
| Physical Description: | 1 online resource (XIV, 378 p.) |
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| 072 | 7 | |a MAT014000 |2 bisacsh | |
| 100 | 1 | |a Außenhofer, Lydia, |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Topological Groups and the Pontryagin-van Kampen Duality : |b An Introduction / |c Dikran Dikranjan, Anna Giordano Bruno, Lydia Außenhofer. |
| 264 | 1 | |a Berlin ; |a Boston : |b De Gruyter, |c [2021] | |
| 264 | 4 | |c ©2022 | |
| 300 | |a 1 online resource (XIV, 378 p.) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 0 | |a De Gruyter Studies in Mathematics , |x 0179-0986 ; |v 83 | |
| 505 | 0 | 0 | |t Frontmatter -- |t Preface -- |t Contents -- |t 1 Introduction -- |t 2 Definition and examples -- |t 3 General properties of topological groups -- |t 4 Markov’s problems -- |t 5 Cardinal invariants and metrizability -- |t 6 Connectedness in topological groups -- |t 7 Completeness and completion -- |t 8 Compactness and local compactness – a first encounter -- |t 9 Properties of ℝn and its subgroups -- |t 10 Subgroups of compact groups -- |t 11 The Følner theorem -- |t 12 Almost periodic functions and Haar integrals -- |t 13 The Pontryagin-van Kampen duality -- |t 14 Applications of the duality theorem -- |t 15 Pseudocompact groups -- |t 16 Topological rings, fields, and modules -- |t A Background on groups -- |t B Background on topological spaces -- |t C Background on categories and functors -- |t Bibliography -- |t Index of symbols -- |t Index |
| 506 | 0 | |a restricted access |u http://purl.org/coar/access_right/c_16ec |f online access with authorization |2 star | |
| 520 | |a 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. | ||
| 530 | |a Issued also in print. | ||
| 538 | |a Mode of access: Internet via World Wide Web. | ||
| 546 | |a In English. | ||
| 588 | 0 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023) | |
| 650 | 4 | |a Lokal kompakte Abelsche Gruppe. | |
| 650 | 4 | |a Pontrjagin-Dualität. | |
| 650 | 4 | |a Topologische Gruppe. | |
| 650 | 7 | |a MATHEMATICS / Group Theory. |2 bisacsh | |
| 700 | 1 | |a Dikranjan, Dikran, |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 700 | 1 | |a Giordano Bruno, Anna, |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t DG Plus DeG Package 2022 Part 1 |z 9783110766820 |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t EBOOK PACKAGE COMPLETE 2021 English |z 9783110754001 |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t EBOOK PACKAGE COMPLETE 2021 |z 9783110753776 |o ZDB-23-DGG |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t EBOOK PACKAGE Mathematics 2021 English |z 9783110754131 |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t EBOOK PACKAGE Mathematics 2021 |z 9783110753905 |o ZDB-23-DMA |
| 776 | 0 | |c EPUB |z 9783110653557 | |
| 776 | 0 | |c print |z 9783110653496 | |
| 856 | 4 | 0 | |u https://doi.org/10.1515/9783110654936 |
| 856 | 4 | 0 | |u https://www.degruyter.com/isbn/9783110654936 |
| 856 | 4 | 2 | |3 Cover |u https://www.degruyter.com/document/cover/isbn/9783110654936/original |
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