Cohomological methods in transformation groups:
This is an account of the theory of certain types of compact transformation groups, namely those that are susceptible to study using ordinary cohomology theory and rational homotopy theory, which in practice means the torus groups and elementary abelian p-groups. The efforts of many mathematicians h...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1993
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| Schriftenreihe: | Cambridge studies in advanced mathematics
32 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 UBR01 URL des Erstveröffentlichers |
| Zusammenfassung: | This is an account of the theory of certain types of compact transformation groups, namely those that are susceptible to study using ordinary cohomology theory and rational homotopy theory, which in practice means the torus groups and elementary abelian p-groups. The efforts of many mathematicians have combined to bring a depth of understanding to this area. However to make it reasonably accessible to a wide audience, the authors have streamlined the presentation, referring the reader to the literature for purely technical results and working in a simplified setting where possible. In this way the reader with a relatively modest background in algebraic topology and homology theory can penetrate rather deeply into the subject, whilst the book at the same time makes a useful reference for the more specialised reader |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (xi, 470 Seiten) |
| ISBN: | 9780511526275 |
| DOI: | 10.1017/CBO9780511526275 |
Internformat
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| 100 | 1 | |a Allday, Christopher |e Verfasser |0 (DE-588)14324471X |4 aut | |
| 245 | 1 | 0 | |a Cohomological methods in transformation groups |c C. Allday, V. Puppe |
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 1993 | |
| 300 | |a 1 online resource (xi, 470 Seiten) | ||
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| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 0 | |a Cambridge studies in advanced mathematics |v 32 | |
| 500 | |a Title from publisher's bibliographic system (viewed on 05 Oct 2015) | ||
| 505 | 8 | |a Equivariant cohomology of G-C-W complexes and the Borel construction -- Summary of some aspects of rational homotopy theory -- Localization -- General results on torus and p-torus actions -- Actions on Poincareduality spaces -- Appendix A. Commutative algebra -- Appendix B. Some homotopy theory of differential modules | |
| 520 | |a This is an account of the theory of certain types of compact transformation groups, namely those that are susceptible to study using ordinary cohomology theory and rational homotopy theory, which in practice means the torus groups and elementary abelian p-groups. The efforts of many mathematicians have combined to bring a depth of understanding to this area. However to make it reasonably accessible to a wide audience, the authors have streamlined the presentation, referring the reader to the literature for purely technical results and working in a simplified setting where possible. In this way the reader with a relatively modest background in algebraic topology and homology theory can penetrate rather deeply into the subject, whilst the book at the same time makes a useful reference for the more specialised reader | ||
| 650 | 4 | |a Topological transformation groups | |
| 650 | 4 | |a Homology theory | |
| 650 | 0 | 7 | |a Transformationsgruppe |0 (DE-588)4127386-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Kohomologie |0 (DE-588)4031700-6 |2 gnd |9 rswk-swf |
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| 689 | 0 | 1 | |a Kohomologie |0 (DE-588)4031700-6 |D s |
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Datensatz im Suchindex
| _version_ | 1804176883640696832 |
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| any_adam_object | |
| author | Allday, Christopher |
| author_GND | (DE-588)14324471X (DE-588)1115828541 |
| author_facet | Allday, Christopher |
| author_role | aut |
| author_sort | Allday, Christopher |
| author_variant | c a ca |
| building | Verbundindex |
| bvnumber | BV043941630 |
| classification_rvk | SK 300 SK 260 SK 320 |
| collection | ZDB-20-CBO |
| contents | Equivariant cohomology of G-C-W complexes and the Borel construction -- Summary of some aspects of rational homotopy theory -- Localization -- General results on torus and p-torus actions -- Actions on Poincareduality spaces -- Appendix A. Commutative algebra -- Appendix B. Some homotopy theory of differential modules |
| ctrlnum | (ZDB-20-CBO)CR9780511526275 (OCoLC)849903077 (DE-599)BVBBV043941630 |
| dewey-full | 514 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology |
| dewey-raw | 514 |
| dewey-search | 514 |
| dewey-sort | 3514 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511526275 |
| format | Electronic eBook |
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| id | DE-604.BV043941630 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:16Z |
| institution | BVB |
| isbn | 9780511526275 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029350600 |
| oclc_num | 849903077 |
| open_access_boolean | |
| owner | DE-12 DE-92 DE-355 DE-BY-UBR |
| owner_facet | DE-12 DE-92 DE-355 DE-BY-UBR |
| physical | 1 online resource (xi, 470 Seiten) |
| psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO ZDB-20-CBO UBR Einzelkauf (Lückenergänzung CUP Serien 2018) |
| publishDate | 1993 |
| publishDateSearch | 1993 |
| publishDateSort | 1993 |
| publisher | Cambridge University Press |
| record_format | marc |
| series2 | Cambridge studies in advanced mathematics |
| spelling | Allday, Christopher Verfasser (DE-588)14324471X aut Cohomological methods in transformation groups C. Allday, V. Puppe Cambridge Cambridge University Press 1993 1 online resource (xi, 470 Seiten) txt rdacontent c rdamedia cr rdacarrier Cambridge studies in advanced mathematics 32 Title from publisher's bibliographic system (viewed on 05 Oct 2015) Equivariant cohomology of G-C-W complexes and the Borel construction -- Summary of some aspects of rational homotopy theory -- Localization -- General results on torus and p-torus actions -- Actions on Poincareduality spaces -- Appendix A. Commutative algebra -- Appendix B. Some homotopy theory of differential modules This is an account of the theory of certain types of compact transformation groups, namely those that are susceptible to study using ordinary cohomology theory and rational homotopy theory, which in practice means the torus groups and elementary abelian p-groups. The efforts of many mathematicians have combined to bring a depth of understanding to this area. However to make it reasonably accessible to a wide audience, the authors have streamlined the presentation, referring the reader to the literature for purely technical results and working in a simplified setting where possible. In this way the reader with a relatively modest background in algebraic topology and homology theory can penetrate rather deeply into the subject, whilst the book at the same time makes a useful reference for the more specialised reader Topological transformation groups Homology theory Transformationsgruppe (DE-588)4127386-2 gnd rswk-swf Kohomologie (DE-588)4031700-6 gnd rswk-swf Transformationsgruppe (DE-588)4127386-2 s Kohomologie (DE-588)4031700-6 s DE-604 Puppe, Volker 1938- Sonstige (DE-588)1115828541 oth Erscheint auch als Druck-Ausgabe 978-0-521-35022-8 Erscheint auch als Druck-Ausgabe 978-0-521-10132-5 https://doi.org/10.1017/CBO9780511526275 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Allday, Christopher Cohomological methods in transformation groups Equivariant cohomology of G-C-W complexes and the Borel construction -- Summary of some aspects of rational homotopy theory -- Localization -- General results on torus and p-torus actions -- Actions on Poincareduality spaces -- Appendix A. Commutative algebra -- Appendix B. Some homotopy theory of differential modules Topological transformation groups Homology theory Transformationsgruppe (DE-588)4127386-2 gnd Kohomologie (DE-588)4031700-6 gnd |
| subject_GND | (DE-588)4127386-2 (DE-588)4031700-6 |
| title | Cohomological methods in transformation groups |
| title_auth | Cohomological methods in transformation groups |
| title_exact_search | Cohomological methods in transformation groups |
| title_full | Cohomological methods in transformation groups C. Allday, V. Puppe |
| title_fullStr | Cohomological methods in transformation groups C. Allday, V. Puppe |
| title_full_unstemmed | Cohomological methods in transformation groups C. Allday, V. Puppe |
| title_short | Cohomological methods in transformation groups |
| title_sort | cohomological methods in transformation groups |
| topic | Topological transformation groups Homology theory Transformationsgruppe (DE-588)4127386-2 gnd Kohomologie (DE-588)4031700-6 gnd |
| topic_facet | Topological transformation groups Homology theory Transformationsgruppe Kohomologie |
| url | https://doi.org/10.1017/CBO9780511526275 |
| work_keys_str_mv | AT alldaychristopher cohomologicalmethodsintransformationgroups AT puppevolker cohomologicalmethodsintransformationgroups |