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:
| Beteilige Person: | |
|---|---|
| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2003
|
| Schriftenreihe: | London Mathematical Society lecture note series
297 |
| Links: | https://doi.org/10.1017/CBO9781107325890 |
| 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. |
| Umfang: | 1 Online-Ressource (xi, 184 Seiten) |
| ISBN: | 9781107325890 |
Internformat
MARC
| LEADER | 00000nam a2200000 i 4500 | ||
|---|---|---|---|
| 001 | ZDB-20-CTM-CR9781107325890 | ||
| 003 | UkCbUP | ||
| 005 | 20151005020623.0 | ||
| 006 | m|||||o||d|||||||| | ||
| 007 | cr|||||||||||| | ||
| 008 | 130129s2003||||enk o ||1 0|eng|d | ||
| 020 | |a 9781107325890 | ||
| 100 | 1 | |a Baues, Hans J. |d 1943- | |
| 245 | 1 | 4 | |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-Ressource (xi, 184 Seiten) | ||
| 336 | |b txt | ||
| 337 | |b c | ||
| 338 | |b cr | ||
| 490 | 1 | |a London Mathematical Society lecture note series |v 297 | |
| 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. | ||
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |z 9780521531030 |
| 966 | 4 | 0 | |l DE-91 |p ZDB-20-CTM |q TUM_PDA_CTM |u https://doi.org/10.1017/CBO9781107325890 |3 Volltext |
| 912 | |a ZDB-20-CTM | ||
| 912 | |a ZDB-20-CTM | ||
| 049 | |a DE-91 | ||
Datensatz im Suchindex
| DE-BY-TUM_katkey | ZDB-20-CTM-CR9781107325890 |
|---|---|
| _version_ | 1825574050442772480 |
| adam_text | |
| any_adam_object | |
| author | Baues, Hans J. 1943- |
| author_facet | Baues, Hans J. 1943- |
| author_role | |
| author_sort | Baues, Hans J. 1943- |
| author_variant | h j b hj hjb |
| building | Verbundindex |
| bvnumber | localTUM |
| collection | ZDB-20-CTM |
| format | eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01462nam a2200253 i 4500</leader><controlfield tag="001">ZDB-20-CTM-CR9781107325890</controlfield><controlfield tag="003">UkCbUP</controlfield><controlfield tag="005">20151005020623.0</controlfield><controlfield tag="006">m|||||o||d||||||||</controlfield><controlfield tag="007">cr||||||||||||</controlfield><controlfield tag="008">130129s2003||||enk o ||1 0|eng|d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781107325890</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Baues, Hans J.</subfield><subfield code="d">1943-</subfield></datafield><datafield tag="245" ind1="1" ind2="4"><subfield code="a">The homotopy category of simply connected 4-manifolds</subfield><subfield code="c">Hans Joachim Baues</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cambridge</subfield><subfield code="b">Cambridge University Press</subfield><subfield code="c">2003</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (xi, 184 Seiten)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">London Mathematical Society lecture note series</subfield><subfield code="v">297</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="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.</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druck-Ausgabe</subfield><subfield code="z">9780521531030</subfield></datafield><datafield tag="966" ind1="4" ind2="0"><subfield code="l">DE-91</subfield><subfield code="p">ZDB-20-CTM</subfield><subfield code="q">TUM_PDA_CTM</subfield><subfield code="u">https://doi.org/10.1017/CBO9781107325890</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-20-CTM</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-20-CTM</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-91</subfield></datafield></record></collection> |
| id | ZDB-20-CTM-CR9781107325890 |
| illustrated | Not Illustrated |
| indexdate | 2025-03-03T11:58:04Z |
| institution | BVB |
| isbn | 9781107325890 |
| language | English |
| open_access_boolean | |
| owner | DE-91 DE-BY-TUM |
| owner_facet | DE-91 DE-BY-TUM |
| physical | 1 Online-Ressource (xi, 184 Seiten) |
| psigel | ZDB-20-CTM TUM_PDA_CTM ZDB-20-CTM |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
| publisher | Cambridge University Press |
| record_format | marc |
| series2 | London Mathematical Society lecture note series |
| spelling | Baues, Hans J. 1943- The homotopy category of simply connected 4-manifolds Hans Joachim Baues Cambridge Cambridge University Press 2003 1 Online-Ressource (xi, 184 Seiten) txt c cr London Mathematical Society lecture note series 297 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. Erscheint auch als Druck-Ausgabe 9780521531030 |
| spellingShingle | Baues, Hans J. 1943- The homotopy category of simply connected 4-manifolds |
| title | The homotopy category of simply connected 4-manifolds |
| 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 | homotopy category of simply connected 4 manifolds |
| work_keys_str_mv | AT baueshansj thehomotopycategoryofsimplyconnected4manifolds AT baueshansj homotopycategoryofsimplyconnected4manifolds |