Theory of mathematical structures:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Dordrecht, Boston ; Hingham, MA
Reidel Pub. Co. ; Sold and distributed in the U.S.A. and Canada by Kluwer Academic Publishers
cop. 1983
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 317 Seiten Illustrationen 25 cm |
| ISBN: | 9027714592 |
Staff View
MARC
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| 245 | 1 | 0 | |a Theory of mathematical structures |c by Jiří Adámek |
| 264 | 1 | |a Dordrecht, Boston ; Hingham, MA |b Reidel Pub. Co. ; Sold and distributed in the U.S.A. and Canada by Kluwer Academic Publishers |c cop. 1983 | |
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Record in the Search Index
| _version_ | 1804114628884561920 |
|---|---|
| adam_text | Table of Contents
Preface IX
PART I: CONSTRUCTS 1
Chapter 1: Objects and Morphisms 2
IA Sets 2
IB Constructs: Definition and Examples 4
1C Isomorphisms 13
ID Fibres 21
IE Isomorphic Constructs 29
1F Subobjects and Generation 35
1G Quotient Objects 40
1H Free Objects 48
Chapter 2: Initial and Final Structures 57
2A Initial Structures 57
2B Cartesian Products 66
2C Final St:uctures 78
2D Semifinal Objects 82
2E A Criterion for Semifinal Completeness 92
PART II: CATEGORIES AND FUNCTORS 101
Chapter 3: Categories 102
3A The Definition of a Category 102
3B The Duality Principle 106
3C Functors 113
3D The Construct of Small Categories 121
3E Natural Transformations 127
3F Adjoint Functors 138
Chapter 4: Limits and Colimits 149
4A Products and Coproducts 149
4B Limits 157
4C Colimits 169
4D Adjoint Functor Theorem 179
4E Reflective Subcategories 193
4F Tensor Products 204
VIII Table of Contents
PART III: SELECTED TOPICS 225
Chapter 5: Relational and Algebraic Structures 226
5A Set Functors 227
5B Relational Structures 238
5C Algebraic Structures 253
5D The Birkhoff Variety Theorem 265
Chapter 6: Concrete Categories 275
6A Which Categories are Concrete 275
6B The Kucera Theorem 290
6C Universal Constructs 294
References 310
List of Constructs and Categories 312
List of Functors and Other Symbols 313
Subject Index 314
|
| any_adam_object | 1 |
| author | Adámek, Jiří 1947- |
| author_GND | (DE-588)113295219 |
| author_facet | Adámek, Jiří 1947- |
| author_role | aut |
| author_sort | Adámek, Jiří 1947- |
| author_variant | j a ja |
| building | Verbundindex |
| bvnumber | BV000169586 |
| callnumber-first | Q - Science |
| callnumber-label | QA169 |
| callnumber-raw | QA169 |
| callnumber-search | QA169 |
| callnumber-sort | QA 3169 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 130 SK 150 SK 320 |
| classification_tum | MAT 180f |
| ctrlnum | (OCoLC)9943101 (DE-599)BVBBV000169586 |
| dewey-full | 511.3 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511.3 |
| dewey-search | 511.3 |
| dewey-sort | 3511.3 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV000169586 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T15:09:45Z |
| institution | BVB |
| isbn | 9027714592 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-000096570 |
| oclc_num | 9943101 |
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| owner_facet | DE-12 DE-91G DE-BY-TUM DE-384 DE-20 DE-29 DE-706 DE-11 DE-188 |
| physical | X, 317 Seiten Illustrationen 25 cm |
| publishDate | 1983 |
| publishDateSearch | 1983 |
| publishDateSort | 1983 |
| publisher | Reidel Pub. Co. ; Sold and distributed in the U.S.A. and Canada by Kluwer Academic Publishers |
| record_format | marc |
| spelling | Adámek, Jiří 1947- Verfasser (DE-588)113295219 aut Theory of mathematical structures by Jiří Adámek Dordrecht, Boston ; Hingham, MA Reidel Pub. Co. ; Sold and distributed in the U.S.A. and Canada by Kluwer Academic Publishers cop. 1983 X, 317 Seiten Illustrationen 25 cm txt rdacontent n rdamedia nc rdacarrier Categories (Mathematics) Functor theory Set theory Algebraische Struktur (DE-588)4001166-5 gnd rswk-swf Kategorientheorie (DE-588)4120552-2 gnd rswk-swf Struktur Mathematik (DE-588)4183783-6 gnd rswk-swf Struktur Mathematik (DE-588)4183783-6 s DE-604 Kategorientheorie (DE-588)4120552-2 s Algebraische Struktur (DE-588)4001166-5 s HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000096570&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Adámek, Jiří 1947- Theory of mathematical structures Categories (Mathematics) Functor theory Set theory Algebraische Struktur (DE-588)4001166-5 gnd Kategorientheorie (DE-588)4120552-2 gnd Struktur Mathematik (DE-588)4183783-6 gnd |
| subject_GND | (DE-588)4001166-5 (DE-588)4120552-2 (DE-588)4183783-6 |
| title | Theory of mathematical structures |
| title_auth | Theory of mathematical structures |
| title_exact_search | Theory of mathematical structures |
| title_full | Theory of mathematical structures by Jiří Adámek |
| title_fullStr | Theory of mathematical structures by Jiří Adámek |
| title_full_unstemmed | Theory of mathematical structures by Jiří Adámek |
| title_short | Theory of mathematical structures |
| title_sort | theory of mathematical structures |
| topic | Categories (Mathematics) Functor theory Set theory Algebraische Struktur (DE-588)4001166-5 gnd Kategorientheorie (DE-588)4120552-2 gnd Struktur Mathematik (DE-588)4183783-6 gnd |
| topic_facet | Categories (Mathematics) Functor theory Set theory Algebraische Struktur Kategorientheorie Struktur Mathematik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000096570&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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