Exact categories and categories of sheaves:
Gespeichert in:
| Format: | Buch |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
1971
|
| Schriftenreihe: | Lecture notes in mathematics
236 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Enth.: Barr, Michael: Exact categories.-Grillet, Pierre Antoine: Regular categories.- Osdol, Donovan H.van: Sheaves in regular categories |
| Beschreibung: | VII, 239 S. 4 |
| ISBN: | 3540056785 |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV006267833 | ||
| 003 | DE-604 | ||
| 005 | 20171114 | ||
| 007 | t | ||
| 008 | 930210s1971 |||| 00||| eng d | ||
| 020 | |a 3540056785 |9 3-540-05678-5 | ||
| 035 | |a (OCoLC)612066647 | ||
| 035 | |a (DE-599)BVBBV006267833 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-20 |a DE-29T |a DE-384 |a DE-91G |a DE-355 |a DE-824 |a DE-19 |a DE-706 |a DE-12 |a DE-210 |a DE-83 |a DE-11 |a DE-188 | ||
| 084 | |a SI 850 |0 (DE-625)143199: |2 rvk | ||
| 084 | |a 18B15 |2 msc | ||
| 245 | 1 | 0 | |a Exact categories and categories of sheaves |c Michael Barr ; Pierre A. Grillet ; Donovan H. van Osdol |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1971 | |
| 300 | |a VII, 239 S. |c 4 | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Lecture notes in mathematics |v 236 | |
| 500 | |a Enth.: Barr, Michael: Exact categories.-Grillet, Pierre Antoine: Regular categories.- Osdol, Donovan H.van: Sheaves in regular categories | ||
| 650 | 0 | 7 | |a Kategorie |g Mathematik |0 (DE-588)4129930-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Garbentheorie |0 (DE-588)4155956-3 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Garbe |g Mathematik |0 (DE-588)4019261-1 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Garbe |g Mathematik |0 (DE-588)4019261-1 |D s |
| 689 | 0 | 1 | |a Kategorie |g Mathematik |0 (DE-588)4129930-9 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Kategorie |g Mathematik |0 (DE-588)4129930-9 |D s |
| 689 | 1 | |5 DE-604 | |
| 689 | 2 | 0 | |a Garbentheorie |0 (DE-588)4155956-3 |D s |
| 689 | 2 | |5 DE-604 | |
| 700 | 1 | |a Barr, Michael |d 1937- |e Sonstige |0 (DE-588)133602915 |4 oth | |
| 700 | 1 | |a Grillet, Pierre A. |d 1941- |e Sonstige |0 (DE-588)133555186 |4 oth | |
| 700 | 1 | |a Van Osdol, Donovan H. |e Sonstige |4 oth | |
| 830 | 0 | |a Lecture notes in mathematics |v 236 |w (DE-604)BV000676446 |9 236 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003960086&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 940 | 1 | |q HUB-ZB011200708 | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-003960086 | ||
| 980 | 4 | |a (DE-12)AK1470621 | |
| 980 | 4 | |a (DE-12)AK08540164 | |
| 980 | 4 | |a (DE-12)AK16400734 | |
Datensatz im Suchindex
| _version_ | 1804120482798108672 |
|---|---|
| adam_text | Table of Contents
Michael Barr: Exact Categories
Introduction 1
Chapter I. The Elementary Theory
1. Definitions and examples „ 4
2. Preliminary results 7
3. Additive exact categories 12
4. Regular epimorphism sheaves 15
5. Constructions on regular and exact categories 18
Chapter II. Locally Presentable Categories
1. Definitions 27
2. Preliminary results 30
3. Rank 33
4. Kan extension of functors 37
5. Toposes 42
Chapter III. The Embedding
1. Statement of results 44
2. Support 47
3. Diagrams 52
4. The Lubkin completion process 57
5. The embedding 62
6. Diagram chasing 69
Chapter IV. Groups and Representations
1. Preleminaries 75
2. Tensor products 79
3. Principal objects 84
4. Structure of groups 87
Chapter V. Cohomology
1. Definitions 90
2. The exact sequence 94
3. Abelian groups 98
4. Extensions 102
Appendix: The Giraud Theorems (Characterizing toposes) . . 106
REFERENCES . 119
Pierre Antoine Grillet: Regular Categories
Introduction 121
I. Examples and elementary properties 124
1. Decompositions 125
2. Regular categories: definition and examples 134
3. Subobjects ; direct and inverse images 138
4. Relations 143
5. Congruences 154
6. Limits and colimits in a regular category 162
Synopsis of definitions and formulae 168
II. Directed colimits in regular categories 170
1. The main theorem: direct part 172
2. Converse: preservation of moriomorphisms 176
3. Converse: preservation of finite limits 182
4. Additional properties of directed colimits 184
III. Sheaves in regular categories 191
1. Grothendieck topologies and sheaves 192
2. The Heller and Rowe construction of the associated sheaf 195
3. The case of a C^ regular category 205
4. Stalk properties 217
REFERENCES 221
Donovan H. van Osdol: Sheaves in Regular Categories
Introduction 223
I. Transfer Theoremes for Triples. * 223
II. Transfer Theoremes for Cotriples 226
III. Sheaves . 230
IV. Interpretation and Examples 235
REFERENCES 239
|
| any_adam_object | 1 |
| author_GND | (DE-588)133602915 (DE-588)133555186 |
| building | Verbundindex |
| bvnumber | BV006267833 |
| classification_rvk | SI 850 |
| ctrlnum | (OCoLC)612066647 (DE-599)BVBBV006267833 |
| discipline | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02217nam a2200517 cb4500</leader><controlfield tag="001">BV006267833</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20171114 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">930210s1971 |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">3540056785</subfield><subfield code="9">3-540-05678-5</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)612066647</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV006267833</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-20</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-706</subfield><subfield code="a">DE-12</subfield><subfield code="a">DE-210</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SI 850</subfield><subfield code="0">(DE-625)143199:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">18B15</subfield><subfield code="2">msc</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Exact categories and categories of sheaves</subfield><subfield code="c">Michael Barr ; Pierre A. Grillet ; Donovan H. van Osdol</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin [u.a.]</subfield><subfield code="b">Springer</subfield><subfield code="c">1971</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">VII, 239 S.</subfield><subfield code="c">4</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">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Lecture notes in mathematics</subfield><subfield code="v">236</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Enth.: Barr, Michael: Exact categories.-Grillet, Pierre Antoine: Regular categories.- Osdol, Donovan H.van: Sheaves in regular categories</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="650" ind1="0" ind2="7"><subfield code="a">Garbentheorie</subfield><subfield code="0">(DE-588)4155956-3</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Garbe</subfield><subfield code="g">Mathematik</subfield><subfield code="0">(DE-588)4019261-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Garbe</subfield><subfield code="g">Mathematik</subfield><subfield code="0">(DE-588)4019261-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><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=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" 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="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="2" ind2="0"><subfield code="a">Garbentheorie</subfield><subfield code="0">(DE-588)4155956-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Barr, Michael</subfield><subfield code="d">1937-</subfield><subfield code="e">Sonstige</subfield><subfield code="0">(DE-588)133602915</subfield><subfield code="4">oth</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Grillet, Pierre A.</subfield><subfield code="d">1941-</subfield><subfield code="e">Sonstige</subfield><subfield code="0">(DE-588)133555186</subfield><subfield code="4">oth</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Van Osdol, Donovan H.</subfield><subfield code="e">Sonstige</subfield><subfield code="4">oth</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Lecture notes in mathematics</subfield><subfield code="v">236</subfield><subfield code="w">(DE-604)BV000676446</subfield><subfield code="9">236</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003960086&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">HUB-ZB011200708</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-003960086</subfield></datafield><datafield tag="980" ind1="4" ind2=" "><subfield code="a">(DE-12)AK1470621</subfield></datafield><datafield tag="980" ind1="4" ind2=" "><subfield code="a">(DE-12)AK08540164</subfield></datafield><datafield tag="980" ind1="4" ind2=" "><subfield code="a">(DE-12)AK16400734</subfield></datafield></record></collection> |
| id | DE-604.BV006267833 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:42:48Z |
| institution | BVB |
| isbn | 3540056785 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-003960086 |
| oclc_num | 612066647 |
| open_access_boolean | |
| owner | DE-20 DE-29T DE-384 DE-91G DE-BY-TUM DE-355 DE-BY-UBR DE-824 DE-19 DE-BY-UBM DE-706 DE-12 DE-210 DE-83 DE-11 DE-188 |
| owner_facet | DE-20 DE-29T DE-384 DE-91G DE-BY-TUM DE-355 DE-BY-UBR DE-824 DE-19 DE-BY-UBM DE-706 DE-12 DE-210 DE-83 DE-11 DE-188 |
| physical | VII, 239 S. 4 |
| psigel | HUB-ZB011200708 |
| publishDate | 1971 |
| publishDateSearch | 1971 |
| publishDateSort | 1971 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Exact categories and categories of sheaves Michael Barr ; Pierre A. Grillet ; Donovan H. van Osdol Berlin [u.a.] Springer 1971 VII, 239 S. 4 txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 236 Enth.: Barr, Michael: Exact categories.-Grillet, Pierre Antoine: Regular categories.- Osdol, Donovan H.van: Sheaves in regular categories Kategorie Mathematik (DE-588)4129930-9 gnd rswk-swf Garbentheorie (DE-588)4155956-3 gnd rswk-swf Garbe Mathematik (DE-588)4019261-1 gnd rswk-swf Garbe Mathematik (DE-588)4019261-1 s Kategorie Mathematik (DE-588)4129930-9 s DE-604 Garbentheorie (DE-588)4155956-3 s Barr, Michael 1937- Sonstige (DE-588)133602915 oth Grillet, Pierre A. 1941- Sonstige (DE-588)133555186 oth Van Osdol, Donovan H. Sonstige oth Lecture notes in mathematics 236 (DE-604)BV000676446 236 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003960086&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Exact categories and categories of sheaves Lecture notes in mathematics Kategorie Mathematik (DE-588)4129930-9 gnd Garbentheorie (DE-588)4155956-3 gnd Garbe Mathematik (DE-588)4019261-1 gnd |
| subject_GND | (DE-588)4129930-9 (DE-588)4155956-3 (DE-588)4019261-1 |
| title | Exact categories and categories of sheaves |
| title_auth | Exact categories and categories of sheaves |
| title_exact_search | Exact categories and categories of sheaves |
| title_full | Exact categories and categories of sheaves Michael Barr ; Pierre A. Grillet ; Donovan H. van Osdol |
| title_fullStr | Exact categories and categories of sheaves Michael Barr ; Pierre A. Grillet ; Donovan H. van Osdol |
| title_full_unstemmed | Exact categories and categories of sheaves Michael Barr ; Pierre A. Grillet ; Donovan H. van Osdol |
| title_short | Exact categories and categories of sheaves |
| title_sort | exact categories and categories of sheaves |
| topic | Kategorie Mathematik (DE-588)4129930-9 gnd Garbentheorie (DE-588)4155956-3 gnd Garbe Mathematik (DE-588)4019261-1 gnd |
| topic_facet | Kategorie Mathematik Garbentheorie Garbe Mathematik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003960086&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000676446 |
| work_keys_str_mv | AT barrmichael exactcategoriesandcategoriesofsheaves AT grilletpierrea exactcategoriesandcategoriesofsheaves AT vanosdoldonovanh exactcategoriesandcategoriesofsheaves |