Symmetric closed categories:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Amsterdam
Mathematisch Centrum
1975
|
| Schriftenreihe: | Mathematisch Centrum <Amsterdam>: Mathematical Centre Tracts
64 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 197 Seiten graph. Darst. |
| ISBN: | 9061961122 |
Internformat
MARC
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| 245 | 1 | 0 | |a Symmetric closed categories |c W. J. de Schipper |
| 264 | 1 | |a Amsterdam |b Mathematisch Centrum |c 1975 | |
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| 490 | 1 | |a Mathematisch Centrum <Amsterdam>: Mathematical Centre Tracts |v 64 | |
| 650 | 4 | |a Closed categories (Mathematics) | |
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Datensatz im Suchindex
| _version_ | 1804118843697659904 |
|---|---|
| adam_text | CONTENTS
INTRODUCTION 1
I. PRELIMINARIES 6
1. Notations and conventions 6
2. Generalized natural transformations 7
3. Adjoint bifunctors 11
ii. Symmetric Closed Categories 20
1. Closed categories 20
2. Symmetric closed categories 25
3. Relations between natural transformations in the first 28
basic situation
4. Relations between some properties in the first basic 32
situation
5. The natural transformation R^ : [XY] —*¦ [[YZ][XZ]] 41
6. Categories over a symmetric closed category 45
7. The underlying category of a (/ category 55
in. Semi mdnoidal closed Categories 64
1. Monoidal categories 64
2. Semi monoidal closed categories 69
3. Tensor products of (/ categories 78
4. The l/ bifunctor Ten: 1/81/ *¦ V and its partial (/ functors 83
5. The natural transformations d : X —»¦ Cy,X8Y3 93
and uyx: Y —? [X,XBY]
6. The natural transformations pOT_: [X®Y,Z] —»¦ CxCyz]] 102
and t . [X®Y,Z] »¦ [YCXZ]]
XYZ
iv. mdnoidal Symmetric Closed Categories 113
1. Monoidal closed categories 113
2. The second basic situation 115
3. Monoidal symmetric closed categories 122
4. The third basic situation 123
5. The natural isomorphism t ; [X8Y,z] —*¦ [YCXZ]] 129
6. The natural isomorphism c^: X8Y —»¦ Y»X 135
7. Symmetric monoidal closed categories 138
8. Categories over a monoidal symmetric closed category 142
9. The natural transformations icf : [xz] —» [x®Y,Z®Y] 149
X
and 6* : [YW] *¦ [X®Y,X®W]
10. The l/ naturality of the canonical transformations 156
11. The natural transformation T : CXZ]»[YW] —? [X®Y,Z8W] 169
V. EXAMPLES 181
1. Examples of cartesian closed categories 181
2. Topological examples 182
3. Other examples 186
REFERENCES 191
INDICES
1. Index of canonical natural transformations 193
2. Index of axioms 193
3. Notation index 194
4. Subject index 195
|
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| dewey-ones | 512 - Algebra |
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| id | DE-604.BV004725635 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T16:16:44Z |
| institution | BVB |
| isbn | 9061961122 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002905366 |
| oclc_num | 1995342 |
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| owner | DE-91G DE-BY-TUM DE-29T DE-83 DE-188 |
| owner_facet | DE-91G DE-BY-TUM DE-29T DE-83 DE-188 |
| physical | 197 Seiten graph. Darst. |
| psigel | TUB-nvmb |
| publishDate | 1975 |
| publishDateSearch | 1975 |
| publishDateSort | 1975 |
| publisher | Mathematisch Centrum |
| record_format | marc |
| series | Mathematisch Centrum <Amsterdam>: Mathematical Centre Tracts |
| series2 | Mathematisch Centrum <Amsterdam>: Mathematical Centre Tracts |
| spelling | Schipper, W. J. de Verfasser aut Symmetric closed categories W. J. de Schipper Amsterdam Mathematisch Centrum 1975 197 Seiten graph. Darst. txt rdacontent n rdamedia nc rdacarrier Mathematisch Centrum <Amsterdam>: Mathematical Centre Tracts 64 Closed categories (Mathematics) Mathematisch Centrum <Amsterdam>: Mathematical Centre Tracts 64 (DE-604)BV000893527 64 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002905366&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Schipper, W. J. de Symmetric closed categories Mathematisch Centrum <Amsterdam>: Mathematical Centre Tracts Closed categories (Mathematics) |
| title | Symmetric closed categories |
| title_auth | Symmetric closed categories |
| title_exact_search | Symmetric closed categories |
| title_full | Symmetric closed categories W. J. de Schipper |
| title_fullStr | Symmetric closed categories W. J. de Schipper |
| title_full_unstemmed | Symmetric closed categories W. J. de Schipper |
| title_short | Symmetric closed categories |
| title_sort | symmetric closed categories |
| topic | Closed categories (Mathematics) |
| topic_facet | Closed categories (Mathematics) |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002905366&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000893527 |
| work_keys_str_mv | AT schipperwjde symmetricclosedcategories |