The homotopy category of simply connected 4-manifolds:
The homotopy type of a closed simply connected 4-manifold is determined by the intersection form. The homotopy classes of maps between two such manifolds, however, do not coincide with the algebraic morphisms between intersection forms. Therefore the problem arises of computing the homotopy classes...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch Tagungsbericht E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2003
|
| Schriftenreihe: | London Mathematical Society lecture note series
297 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 URL des Erstveröffentlichers |
| Zusammenfassung: | The homotopy type of a closed simply connected 4-manifold is determined by the intersection form. The homotopy classes of maps between two such manifolds, however, do not coincide with the algebraic morphisms between intersection forms. Therefore the problem arises of computing the homotopy classes of maps algebraically and determining the law of composition for such maps. This problem is solved in the book by introducing new algebraic models of a 4-manifold. The book has been written to appeal to both established researchers in the field and graduate students interested in topology and algebra. There are many references to the literature for those interested in further reading |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (xi, 184 pages) |
| ISBN: | 9781107325890 |
| DOI: | 10.1017/CBO9781107325890 |
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| 100 | 1 | |a Baues, Hans J. |d 1943- |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a The homotopy category of simply connected 4-manifolds |c Hans Joachim Baues |
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 2003 | |
| 300 | |a 1 online resource (xi, 184 pages) | ||
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| 500 | |a Title from publisher's bibliographic system (viewed on 05 Oct 2015) | ||
| 505 | 8 | 0 | |g 1 |t homotopy category of (2,4)-complexes |g 2 |t homotopy category of simply connected 4-manifolds |g 3 |t Track categories |g 4 |t splitting of the linear extension TL |g 5 |t category T[Gamma] and an algebraic model of CW(2,4) |g 6 |t Crossed chain complexes and algebraic models of tracks |g 7 |t Quadratic chain complexes and algebraic models of tracks |g 8 |t On the cohomology of the category nil. (T. Pirashvili) |
| 520 | |a The homotopy type of a closed simply connected 4-manifold is determined by the intersection form. The homotopy classes of maps between two such manifolds, however, do not coincide with the algebraic morphisms between intersection forms. Therefore the problem arises of computing the homotopy classes of maps algebraically and determining the law of composition for such maps. This problem is solved in the book by introducing new algebraic models of a 4-manifold. The book has been written to appeal to both established researchers in the field and graduate students interested in topology and algebra. There are many references to the literature for those interested in further reading | ||
| 650 | 4 | |a Homotopy theory | |
| 650 | 4 | |a Four-manifolds (Topology) | |
| 650 | 0 | 7 | |a Mannigfaltigkeit |0 (DE-588)4037379-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Dimension 4 |0 (DE-588)4338676-3 |2 gnd |9 rswk-swf |
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| 689 | 0 | 2 | |a CW-Komplex |0 (DE-588)4148419-8 |D s |
| 689 | 0 | 3 | |a Homotopieklasse |0 (DE-588)4160625-5 |D s |
| 689 | 0 | |8 1\p |5 DE-604 | |
| 711 | 2 | |a London Mathematical Society |a issuing body |j Sonstige |4 oth | |
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Datensatz im Suchindex
| _version_ | 1804176884544569344 |
|---|---|
| any_adam_object | |
| author | Baues, Hans J. 1943- |
| author_facet | Baues, Hans J. 1943- |
| author_role | aut |
| author_sort | Baues, Hans J. 1943- |
| author_variant | h j b hj hjb |
| building | Verbundindex |
| bvnumber | BV043942094 |
| classification_rvk | SI 320 SK 300 |
| collection | ZDB-20-CBO |
| contents | homotopy category of (2,4)-complexes homotopy category of simply connected 4-manifolds Track categories splitting of the linear extension TL category T[Gamma] and an algebraic model of CW(2,4) Crossed chain complexes and algebraic models of tracks Quadratic chain complexes and algebraic models of tracks On the cohomology of the category nil. (T. Pirashvili) |
| ctrlnum | (ZDB-20-CBO)CR9781107325890 (OCoLC)907964013 (DE-599)BVBBV043942094 |
| dewey-full | 514.3 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology |
| dewey-raw | 514.3 |
| dewey-search | 514.3 |
| dewey-sort | 3514.3 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9781107325890 |
| format | Electronic Conference Proceeding eBook |
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| id | DE-604.BV043942094 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:16Z |
| institution | BVB |
| isbn | 9781107325890 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029351064 |
| oclc_num | 907964013 |
| open_access_boolean | |
| owner | DE-12 DE-92 |
| owner_facet | DE-12 DE-92 |
| physical | 1 online resource (xi, 184 pages) |
| psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO |
| publishDate | 2003 |
| publishDateSearch | 2003 |
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| publisher | Cambridge University Press |
| record_format | marc |
| series2 | London Mathematical Society lecture note series |
| spelling | Baues, Hans J. 1943- Verfasser aut The homotopy category of simply connected 4-manifolds Hans Joachim Baues Cambridge Cambridge University Press 2003 1 online resource (xi, 184 pages) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society lecture note series 297 Title from publisher's bibliographic system (viewed on 05 Oct 2015) 1 homotopy category of (2,4)-complexes 2 homotopy category of simply connected 4-manifolds 3 Track categories 4 splitting of the linear extension TL 5 category T[Gamma] and an algebraic model of CW(2,4) 6 Crossed chain complexes and algebraic models of tracks 7 Quadratic chain complexes and algebraic models of tracks 8 On the cohomology of the category nil. (T. Pirashvili) The homotopy type of a closed simply connected 4-manifold is determined by the intersection form. The homotopy classes of maps between two such manifolds, however, do not coincide with the algebraic morphisms between intersection forms. Therefore the problem arises of computing the homotopy classes of maps algebraically and determining the law of composition for such maps. This problem is solved in the book by introducing new algebraic models of a 4-manifold. The book has been written to appeal to both established researchers in the field and graduate students interested in topology and algebra. There are many references to the literature for those interested in further reading Homotopy theory Four-manifolds (Topology) Mannigfaltigkeit (DE-588)4037379-4 gnd rswk-swf Dimension 4 (DE-588)4338676-3 gnd rswk-swf Homotopieklasse (DE-588)4160625-5 gnd rswk-swf CW-Komplex (DE-588)4148419-8 gnd rswk-swf Mannigfaltigkeit (DE-588)4037379-4 s Dimension 4 (DE-588)4338676-3 s CW-Komplex (DE-588)4148419-8 s Homotopieklasse (DE-588)4160625-5 s 1\p DE-604 London Mathematical Society issuing body Sonstige oth Erscheint auch als Druckausgabe 978-0-521-53103-0 https://doi.org/10.1017/CBO9781107325890 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Baues, Hans J. 1943- The homotopy category of simply connected 4-manifolds homotopy category of (2,4)-complexes homotopy category of simply connected 4-manifolds Track categories splitting of the linear extension TL category T[Gamma] and an algebraic model of CW(2,4) Crossed chain complexes and algebraic models of tracks Quadratic chain complexes and algebraic models of tracks On the cohomology of the category nil. (T. Pirashvili) Homotopy theory Four-manifolds (Topology) Mannigfaltigkeit (DE-588)4037379-4 gnd Dimension 4 (DE-588)4338676-3 gnd Homotopieklasse (DE-588)4160625-5 gnd CW-Komplex (DE-588)4148419-8 gnd |
| subject_GND | (DE-588)4037379-4 (DE-588)4338676-3 (DE-588)4160625-5 (DE-588)4148419-8 |
| title | The homotopy category of simply connected 4-manifolds |
| title_alt | homotopy category of (2,4)-complexes homotopy category of simply connected 4-manifolds Track categories splitting of the linear extension TL category T[Gamma] and an algebraic model of CW(2,4) Crossed chain complexes and algebraic models of tracks Quadratic chain complexes and algebraic models of tracks On the cohomology of the category nil. (T. Pirashvili) |
| title_auth | The homotopy category of simply connected 4-manifolds |
| title_exact_search | The homotopy category of simply connected 4-manifolds |
| title_full | The homotopy category of simply connected 4-manifolds Hans Joachim Baues |
| title_fullStr | The homotopy category of simply connected 4-manifolds Hans Joachim Baues |
| title_full_unstemmed | The homotopy category of simply connected 4-manifolds Hans Joachim Baues |
| title_short | The homotopy category of simply connected 4-manifolds |
| title_sort | the homotopy category of simply connected 4 manifolds |
| topic | Homotopy theory Four-manifolds (Topology) Mannigfaltigkeit (DE-588)4037379-4 gnd Dimension 4 (DE-588)4338676-3 gnd Homotopieklasse (DE-588)4160625-5 gnd CW-Komplex (DE-588)4148419-8 gnd |
| topic_facet | Homotopy theory Four-manifolds (Topology) Mannigfaltigkeit Dimension 4 Homotopieklasse CW-Komplex |
| url | https://doi.org/10.1017/CBO9781107325890 |
| work_keys_str_mv | AT baueshansj thehomotopycategoryofsimplyconnected4manifolds AT londonmathematicalsocietyissuingbody thehomotopycategoryofsimplyconnected4manifolds |