Category theory: an introduction
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin
Heldermann
1979
|
| Ausgabe: | 2. ed. |
| Schriftenreihe: | Sigma series in pure mathematics
1 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XI, 400 S. graph. Darst. |
| ISBN: | 3885380013 |
Internformat
MARC
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| 245 | 1 | 0 | |a Category theory |b an introduction |c Horst Herrlich ; George E. Strecker |
| 250 | |a 2. ed. | ||
| 264 | 1 | |a Berlin |b Heldermann |c 1979 | |
| 300 | |a XI, 400 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Sigma series in pure mathematics |v 1 | |
| 650 | 4 | |a Catégories (Mathématiques) | |
| 650 | 4 | |a Categories (Mathematics) | |
| 650 | 0 | 7 | |a Mathematik |0 (DE-588)4037944-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Kategorientheorie |0 (DE-588)4120552-2 |2 gnd |9 rswk-swf |
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Datensatz im Suchindex
| _version_ | 1804116698956038144 |
|---|---|
| adam_text | Contents
Preface ix
I. Introduction 1
II. Foundations 9
1 Sets, classes, and conglomerates 9
III. Categories 13
2 Concrete categories 13
3 Abstract categories 15
4 New categories from old 23
IV. Special Morphisms and Special Objects 32
5 Sections, retractions, and isomorphisms 32
6 Monomorphisms, epimorphisms, and bimorphisms 38
7 Initial, terminal, and zero objects 46
8 Constant morphisms, zero morphisms, and pointed categories 48
V. Functors and Natural Transformations 53
9 Functors 53
10 Horn functors 61
11 Categories of categories 64
12 Properties of functors 67
13 Natural transformations and natural isomorphisms 77
14 Isomorphisms and equivalences of categories 86
15 Functor categories 93
VI. Limits in Categories 100
16 Equalizers and coequalizers 100
17 Intersections and factorizations 107
18 Products and coproducts 115
vii
viii Contents
19 Sources and sinks 126
20 Limits and colimits 133
21 Pullbacks and pushouts 138
22 Inverse and direct limits 151
23 Complete categories 155
24 Functors that preserve and reflect limits 166
25 Limits in functor categories 171
VII. Adjoint Situations 177
26 Universal maps 177
27 Adjoint functors 194
28 Existence of adjoints 207
VIII. Set Valued Functors 217
29 Hom functors 217
30 Representable functors 221
31 Free objects 231
32 Algebraic categories and algebraic functors 236
IX. Subobjects, Quotient Objects, and Factorizations 249
33 ( ?, J?) categories 249
34 (Epi, extremal mono) and (extremal epi, mono) categories 255
35 (Generating, extremal mono) and (extremal generating, mono)
factorizations 267
X. Reflective Subcategories 275
36 General reflective subcategories 275
37 Characterization and generation of f reflective subcategories 281
38 Algebraic subcategories 288
XI. Pointed Categories 293
39 Normal and exact categories 294
40 Additive categories 305
41 Abelian categories 318
Appendix: Foundations 328
Bibliography 332
Index of Symbols 381
Index 383
|
| any_adam_object | 1 |
| author | Herrlich, Horst 1937-2015 Strecker, George E. |
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| ctrlnum | (OCoLC)7116482 (DE-599)BVBBV002242993 |
| dewey-full | 512/.55 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.55 |
| dewey-search | 512/.55 |
| dewey-sort | 3512 255 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 2. ed. |
| format | Book |
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| indexdate | 2024-07-09T15:42:39Z |
| institution | BVB |
| isbn | 3885380013 |
| language | English |
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| physical | XI, 400 S. graph. Darst. |
| publishDate | 1979 |
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| series | Sigma series in pure mathematics |
| series2 | Sigma series in pure mathematics |
| spelling | Herrlich, Horst 1937-2015 Verfasser (DE-588)105921580 aut Category theory an introduction Horst Herrlich ; George E. Strecker 2. ed. Berlin Heldermann 1979 XI, 400 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Sigma series in pure mathematics 1 Catégories (Mathématiques) Categories (Mathematics) Mathematik (DE-588)4037944-9 gnd rswk-swf Kategorientheorie (DE-588)4120552-2 gnd rswk-swf Kategorie Mathematik (DE-588)4129930-9 gnd rswk-swf (DE-588)4151278-9 Einführung gnd-content Kategorie Mathematik (DE-588)4129930-9 s DE-604 Kategorientheorie (DE-588)4120552-2 s 1\p DE-604 Mathematik (DE-588)4037944-9 s 2\p DE-604 Strecker, George E. Verfasser aut Sigma series in pure mathematics 1 (DE-604)BV000012120 1 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001474106&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Herrlich, Horst 1937-2015 Strecker, George E. Category theory an introduction Sigma series in pure mathematics Catégories (Mathématiques) Categories (Mathematics) Mathematik (DE-588)4037944-9 gnd Kategorientheorie (DE-588)4120552-2 gnd Kategorie Mathematik (DE-588)4129930-9 gnd |
| subject_GND | (DE-588)4037944-9 (DE-588)4120552-2 (DE-588)4129930-9 (DE-588)4151278-9 |
| title | Category theory an introduction |
| title_auth | Category theory an introduction |
| title_exact_search | Category theory an introduction |
| title_full | Category theory an introduction Horst Herrlich ; George E. Strecker |
| title_fullStr | Category theory an introduction Horst Herrlich ; George E. Strecker |
| title_full_unstemmed | Category theory an introduction Horst Herrlich ; George E. Strecker |
| title_short | Category theory |
| title_sort | category theory an introduction |
| title_sub | an introduction |
| topic | Catégories (Mathématiques) Categories (Mathematics) Mathematik (DE-588)4037944-9 gnd Kategorientheorie (DE-588)4120552-2 gnd Kategorie Mathematik (DE-588)4129930-9 gnd |
| topic_facet | Catégories (Mathématiques) Categories (Mathematics) Mathematik Kategorientheorie Kategorie Mathematik Einführung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001474106&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000012120 |
| work_keys_str_mv | AT herrlichhorst categorytheoryanintroduction AT streckergeorgee categorytheoryanintroduction |