Bounded cohomology and simplicial volume:
Since their introduction by Gromov in the 1980s, the study of bounded cohomology and simplicial volume has developed into an active field connected to geometry and group theory. This monograph, arising from a learning seminar for young researchers working in the area, provides a collection of differ...
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| Weitere Verfasser: | , , , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2023
|
| Schriftenreihe: | London Mathematical Society lecture note series
479 |
| Schlagworte: | |
| Online-Zugang: | BSB01 BTU01 FHN01 Volltext |
| Zusammenfassung: | Since their introduction by Gromov in the 1980s, the study of bounded cohomology and simplicial volume has developed into an active field connected to geometry and group theory. This monograph, arising from a learning seminar for young researchers working in the area, provides a collection of different perspectives on the subject, both classical and recent. The book's introduction presents the main definitions of the theories of bounded cohomology and simplicial volume, outlines their history, and explains their principal motivations and applications. Individual chapters then present different aspects of the theory, with a focus on examples. Detailed references to foundational papers and the latest research are given for readers wishing to dig deeper. The prerequisites are only basic knowledge of classical algebraic topology and of group theory, and the presentations are gentle and informal in order to be accessible to beginning graduate students wanting to enter this lively and topical field |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 28 Oct 2022) |
| Beschreibung: | 1 Online-Ressource (xxiii, 146 Seiten) |
| ISBN: | 9781009183284 |
| DOI: | 10.1017/9781009183284 |
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Datensatz im Suchindex
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| author2 | Campagnolo, Caterina ca. 20./21. Jh Fournier-Facio, Francesco 1996- Heuer, Nicolaus ca. 20./21. Jh Moraschini, Marco 1991- |
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| discipline_str_mv | Mathematik |
| doi_str_mv | 10.1017/9781009183284 |
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| id | DE-604.BV048580466 |
| illustrated | Not Illustrated |
| index_date | 2024-07-03T21:04:46Z |
| indexdate | 2024-07-10T09:42:04Z |
| institution | BVB |
| isbn | 9781009183284 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-033956354 |
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| physical | 1 Online-Ressource (xxiii, 146 Seiten) |
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| spelling | Bounded cohomology and simplicial volume edited by Caterina Campagnolo [and three others] Cambridge Cambridge University Press 2023 1 Online-Ressource (xxiii, 146 Seiten) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society lecture note series 479 Title from publisher's bibliographic system (viewed on 28 Oct 2022) Since their introduction by Gromov in the 1980s, the study of bounded cohomology and simplicial volume has developed into an active field connected to geometry and group theory. This monograph, arising from a learning seminar for young researchers working in the area, provides a collection of different perspectives on the subject, both classical and recent. The book's introduction presents the main definitions of the theories of bounded cohomology and simplicial volume, outlines their history, and explains their principal motivations and applications. Individual chapters then present different aspects of the theory, with a focus on examples. Detailed references to foundational papers and the latest research are given for readers wishing to dig deeper. The prerequisites are only basic knowledge of classical algebraic topology and of group theory, and the presentations are gentle and informal in order to be accessible to beginning graduate students wanting to enter this lively and topical field Cohomology operations Negative Krümmung (DE-588)4202603-9 gnd rswk-swf Simpliziales Volumen (DE-588)4711801-5 gnd rswk-swf Kommutatorgruppe (DE-588)4752003-6 gnd rswk-swf Topologische Mannigfaltigkeit (DE-588)4185712-4 gnd rswk-swf Beschränkte Kohomologie (DE-588)1292089059 gnd rswk-swf Simpliziales Volumen (DE-588)4711801-5 s Beschränkte Kohomologie (DE-588)1292089059 s Kommutatorgruppe (DE-588)4752003-6 s Negative Krümmung (DE-588)4202603-9 s Topologische Mannigfaltigkeit (DE-588)4185712-4 s DE-604 Campagnolo, Caterina ca. 20./21. Jh. (DE-588)1208842072 edt Fournier-Facio, Francesco 1996- (DE-588)1259354903 edt Heuer, Nicolaus ca. 20./21. Jh. (DE-588)1259355624 edt Moraschini, Marco 1991- (DE-588)1259356345 edt Erscheint auch als Druck-Ausgabe 978-1-00-918329-1 https://doi.org/10.1017/9781009183284 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Bounded cohomology and simplicial volume Cohomology operations Negative Krümmung (DE-588)4202603-9 gnd Simpliziales Volumen (DE-588)4711801-5 gnd Kommutatorgruppe (DE-588)4752003-6 gnd Topologische Mannigfaltigkeit (DE-588)4185712-4 gnd Beschränkte Kohomologie (DE-588)1292089059 gnd |
| subject_GND | (DE-588)4202603-9 (DE-588)4711801-5 (DE-588)4752003-6 (DE-588)4185712-4 (DE-588)1292089059 |
| title | Bounded cohomology and simplicial volume |
| title_auth | Bounded cohomology and simplicial volume |
| title_exact_search | Bounded cohomology and simplicial volume |
| title_exact_search_txtP | Bounded cohomology and simplicial volume |
| title_full | Bounded cohomology and simplicial volume edited by Caterina Campagnolo [and three others] |
| title_fullStr | Bounded cohomology and simplicial volume edited by Caterina Campagnolo [and three others] |
| title_full_unstemmed | Bounded cohomology and simplicial volume edited by Caterina Campagnolo [and three others] |
| title_short | Bounded cohomology and simplicial volume |
| title_sort | bounded cohomology and simplicial volume |
| topic | Cohomology operations Negative Krümmung (DE-588)4202603-9 gnd Simpliziales Volumen (DE-588)4711801-5 gnd Kommutatorgruppe (DE-588)4752003-6 gnd Topologische Mannigfaltigkeit (DE-588)4185712-4 gnd Beschränkte Kohomologie (DE-588)1292089059 gnd |
| topic_facet | Cohomology operations Negative Krümmung Simpliziales Volumen Kommutatorgruppe Topologische Mannigfaltigkeit Beschränkte Kohomologie |
| url | https://doi.org/10.1017/9781009183284 |
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