Triangulated categories:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Princeton, N.J.
Princeton University Press
[2001]
|
| Schriftenreihe: | Annals of Mathematics Studies
number 148 |
| Schlagworte: | |
| Online-Zugang: | DE-706 URL des Erstveröffentlichers |
| Beschreibung: | The first two chapters of this book offer a modern, self-contained exposition of the elementary theory of triangulated categories and their quotients. The simple, elegant presentation of these known results makes these chapters eminently suitable as a text for graduate students. The remainder of the book is devoted to new research, providing, among other material, some remarkable improvements on Brown's classical representability theorem. In addition, the author introduces a class of triangulated categories"--the "well generated triangulated categories"--and studies their properties. This exercise is particularly worthwhile in that many examples of triangulated categories are well generated, and the book proves several powerful theorems for this broad class. These chapters will interest researchers in the fields of algebra, algebraic geometry, homotopy theory, and mathematical physics |
| Beschreibung: | 1 Online-Ressource (449 p.) |
| ISBN: | 9781400837212 |
| DOI: | 10.1515/9781400837212 |
Internformat
MARC
| LEADER | 00000nmm a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV042522800 | ||
| 003 | DE-604 | ||
| 005 | 20241002 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 150423s2001 |||| o||u| ||||||eng d | ||
| 020 | |a 9781400837212 |9 978-1-4008-3721-2 | ||
| 024 | 7 | |a 10.1515/9781400837212 |2 doi | |
| 035 | |a (ZDB-23-DGG)978-1-4008-3721-2 | ||
| 035 | |a (OCoLC)757993359 | ||
| 035 | |a (DE-599)BVBBV042522800 | ||
| 040 | |a DE-604 |b ger |e aacr | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-83 |a DE-706 | ||
| 082 | 0 | |a 510 |2 23 | |
| 084 | |a SI 830 |0 (DE-625)143195: |2 rvk | ||
| 084 | |a SK 320 |0 (DE-625)143231: |2 rvk | ||
| 100 | 1 | |a Neeman, Amnon |d 1957- |0 (DE-588)112427227 |4 aut | |
| 245 | 1 | 0 | |a Triangulated categories |c Amnon Neeman |
| 264 | 1 | |a Princeton, N.J. |b Princeton University Press |c [2001] | |
| 264 | 4 | |c © 2001 | |
| 300 | |a 1 Online-Ressource (449 p.) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 1 | |a Annals of Mathematics Studies |v number 148 | |
| 500 | |a The first two chapters of this book offer a modern, self-contained exposition of the elementary theory of triangulated categories and their quotients. The simple, elegant presentation of these known results makes these chapters eminently suitable as a text for graduate students. The remainder of the book is devoted to new research, providing, among other material, some remarkable improvements on Brown's classical representability theorem. In addition, the author introduces a class of triangulated categories"--the "well generated triangulated categories"--and studies their properties. This exercise is particularly worthwhile in that many examples of triangulated categories are well generated, and the book proves several powerful theorems for this broad class. These chapters will interest researchers in the fields of algebra, algebraic geometry, homotopy theory, and mathematical physics | ||
| 546 | |a In English | ||
| 650 | 4 | |a Mathematik | |
| 650 | 4 | |a Categories (Mathematics) | |
| 650 | 4 | |a Triangulated categories | |
| 650 | 4 | |a Catégories (Mathématiques) | |
| 650 | 4 | |a Categorieën (wiskunde) | |
| 650 | 4 | |a Kategorie (Mathematik) | |
| 650 | 4 | |a Triangulation | |
| 650 | 7 | |a MATHEMATICS / Essays |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS / Pre-Calculus |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS / Reference |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS / Algebra / Abstract |2 bisacsh | |
| 650 | 0 | 7 | |a Triangulation |0 (DE-588)4186017-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Kategorie |g Mathematik |0 (DE-588)4129930-9 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Kategorie |g Mathematik |0 (DE-588)4129930-9 |D s |
| 689 | 0 | 1 | |a Triangulation |0 (DE-588)4186017-2 |D s |
| 689 | 0 | |8 1\p |5 DE-604 | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |z 0-691-08685-0 |
| 830 | 0 | |a Annals of Mathematics Studies |v number 148 |w (DE-604)BV040389493 |9 148 | |
| 856 | 4 | 0 | |u https://doi.org/10.1515/9781400837212?locatt=mode:legacy |x Verlag |z URL des Erstveröffentlichers |3 Volltext |
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 912 | |a ZDB-23-DGG |a ZDB-23-PST | ||
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-027957139 | |
| 966 | e | |u https://doi.org/10.1515/9781400837212?locatt=mode:legacy |l DE-706 |p ZDB-23-DGG |q UBY_PDA_DGG_Kauf |x Verlag |3 Volltext | |
Datensatz im Suchindex
| _version_ | 1811795973142216704 |
|---|---|
| adam_text | |
| any_adam_object | |
| author | Neeman, Amnon 1957- |
| author_GND | (DE-588)112427227 |
| author_facet | Neeman, Amnon 1957- |
| author_role | aut |
| author_sort | Neeman, Amnon 1957- |
| author_variant | a n an |
| building | Verbundindex |
| bvnumber | BV042522800 |
| classification_rvk | SI 830 SK 320 |
| collection | ZDB-23-DGG ZDB-23-PST |
| ctrlnum | (ZDB-23-DGG)978-1-4008-3721-2 (OCoLC)757993359 (DE-599)BVBBV042522800 |
| dewey-full | 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510 |
| dewey-search | 510 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1515/9781400837212 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>00000nmm a2200000 cb4500</leader><controlfield tag="001">BV042522800</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20241002</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">150423s2001 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781400837212</subfield><subfield code="9">978-1-4008-3721-2</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1515/9781400837212</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ZDB-23-DGG)978-1-4008-3721-2</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)757993359</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV042522800</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">aacr</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-83</subfield><subfield code="a">DE-706</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">510</subfield><subfield code="2">23</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SI 830</subfield><subfield code="0">(DE-625)143195:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 320</subfield><subfield code="0">(DE-625)143231:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Neeman, Amnon</subfield><subfield code="d">1957-</subfield><subfield code="0">(DE-588)112427227</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Triangulated categories</subfield><subfield code="c">Amnon Neeman</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Princeton, N.J.</subfield><subfield code="b">Princeton University Press</subfield><subfield code="c">[2001]</subfield></datafield><datafield tag="264" ind1=" " ind2="4"><subfield code="c">© 2001</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (449 p.)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Annals of Mathematics Studies</subfield><subfield code="v">number 148</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">The first two chapters of this book offer a modern, self-contained exposition of the elementary theory of triangulated categories and their quotients. The simple, elegant presentation of these known results makes these chapters eminently suitable as a text for graduate students. The remainder of the book is devoted to new research, providing, among other material, some remarkable improvements on Brown's classical representability theorem. In addition, the author introduces a class of triangulated categories"--the "well generated triangulated categories"--and studies their properties. This exercise is particularly worthwhile in that many examples of triangulated categories are well generated, and the book proves several powerful theorems for this broad class. These chapters will interest researchers in the fields of algebra, algebraic geometry, homotopy theory, and mathematical physics</subfield></datafield><datafield tag="546" ind1=" " ind2=" "><subfield code="a">In English</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematik</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Categories (Mathematics)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Triangulated categories</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Catégories (Mathématiques)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Categorieën (wiskunde)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Kategorie (Mathematik)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Triangulation</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS / Essays</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS / Pre-Calculus</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS / Reference</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS / Algebra / Abstract</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Triangulation</subfield><subfield code="0">(DE-588)4186017-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Kategorie</subfield><subfield code="g">Mathematik</subfield><subfield code="0">(DE-588)4129930-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Kategorie</subfield><subfield code="g">Mathematik</subfield><subfield code="0">(DE-588)4129930-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Triangulation</subfield><subfield code="0">(DE-588)4186017-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</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">0-691-08685-0</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Annals of Mathematics Studies</subfield><subfield code="v">number 148</subfield><subfield code="w">(DE-604)BV040389493</subfield><subfield code="9">148</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1515/9781400837212?locatt=mode:legacy</subfield><subfield code="x">Verlag</subfield><subfield code="z">URL des Erstveröffentlichers</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-23-DGG</subfield><subfield code="a">ZDB-23-PST</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-027957139</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1515/9781400837212?locatt=mode:legacy</subfield><subfield code="l">DE-706</subfield><subfield code="p">ZDB-23-DGG</subfield><subfield code="q">UBY_PDA_DGG_Kauf</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield></record></collection> |
| id | DE-604.BV042522800 |
| illustrated | Not Illustrated |
| indexdate | 2024-10-02T10:01:25Z |
| institution | BVB |
| isbn | 9781400837212 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027957139 |
| oclc_num | 757993359 |
| open_access_boolean | |
| owner | DE-83 DE-706 |
| owner_facet | DE-83 DE-706 |
| physical | 1 Online-Ressource (449 p.) |
| psigel | ZDB-23-DGG ZDB-23-PST ZDB-23-DGG UBY_PDA_DGG_Kauf |
| publishDate | 2001 |
| publishDateSearch | 2001 |
| publishDateSort | 2001 |
| publisher | Princeton University Press |
| record_format | marc |
| series | Annals of Mathematics Studies |
| series2 | Annals of Mathematics Studies |
| spelling | Neeman, Amnon 1957- (DE-588)112427227 aut Triangulated categories Amnon Neeman Princeton, N.J. Princeton University Press [2001] © 2001 1 Online-Ressource (449 p.) txt rdacontent c rdamedia cr rdacarrier Annals of Mathematics Studies number 148 The first two chapters of this book offer a modern, self-contained exposition of the elementary theory of triangulated categories and their quotients. The simple, elegant presentation of these known results makes these chapters eminently suitable as a text for graduate students. The remainder of the book is devoted to new research, providing, among other material, some remarkable improvements on Brown's classical representability theorem. In addition, the author introduces a class of triangulated categories"--the "well generated triangulated categories"--and studies their properties. This exercise is particularly worthwhile in that many examples of triangulated categories are well generated, and the book proves several powerful theorems for this broad class. These chapters will interest researchers in the fields of algebra, algebraic geometry, homotopy theory, and mathematical physics In English Mathematik Categories (Mathematics) Triangulated categories Catégories (Mathématiques) Categorieën (wiskunde) Kategorie (Mathematik) Triangulation MATHEMATICS / Essays bisacsh MATHEMATICS / Pre-Calculus bisacsh MATHEMATICS / Reference bisacsh MATHEMATICS / Algebra / Abstract bisacsh Triangulation (DE-588)4186017-2 gnd rswk-swf Kategorie Mathematik (DE-588)4129930-9 gnd rswk-swf Kategorie Mathematik (DE-588)4129930-9 s Triangulation (DE-588)4186017-2 s 1\p DE-604 Erscheint auch als Druck-Ausgabe 0-691-08685-0 Annals of Mathematics Studies number 148 (DE-604)BV040389493 148 https://doi.org/10.1515/9781400837212?locatt=mode:legacy Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Neeman, Amnon 1957- Triangulated categories Annals of Mathematics Studies Mathematik Categories (Mathematics) Triangulated categories Catégories (Mathématiques) Categorieën (wiskunde) Kategorie (Mathematik) Triangulation MATHEMATICS / Essays bisacsh MATHEMATICS / Pre-Calculus bisacsh MATHEMATICS / Reference bisacsh MATHEMATICS / Algebra / Abstract bisacsh Triangulation (DE-588)4186017-2 gnd Kategorie Mathematik (DE-588)4129930-9 gnd |
| subject_GND | (DE-588)4186017-2 (DE-588)4129930-9 |
| title | Triangulated categories |
| title_auth | Triangulated categories |
| title_exact_search | Triangulated categories |
| title_full | Triangulated categories Amnon Neeman |
| title_fullStr | Triangulated categories Amnon Neeman |
| title_full_unstemmed | Triangulated categories Amnon Neeman |
| title_short | Triangulated categories |
| title_sort | triangulated categories |
| topic | Mathematik Categories (Mathematics) Triangulated categories Catégories (Mathématiques) Categorieën (wiskunde) Kategorie (Mathematik) Triangulation MATHEMATICS / Essays bisacsh MATHEMATICS / Pre-Calculus bisacsh MATHEMATICS / Reference bisacsh MATHEMATICS / Algebra / Abstract bisacsh Triangulation (DE-588)4186017-2 gnd Kategorie Mathematik (DE-588)4129930-9 gnd |
| topic_facet | Mathematik Categories (Mathematics) Triangulated categories Catégories (Mathématiques) Categorieën (wiskunde) Kategorie (Mathematik) Triangulation MATHEMATICS / Essays MATHEMATICS / Pre-Calculus MATHEMATICS / Reference MATHEMATICS / Algebra / Abstract Kategorie Mathematik |
| url | https://doi.org/10.1515/9781400837212?locatt=mode:legacy |
| volume_link | (DE-604)BV040389493 |
| work_keys_str_mv | AT neemanamnon triangulatedcategories |