Preface to the 2004 Edition |
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Preface |
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0 Introduction |
1 Motivation |
2 Foundations |
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I Categories, Functors, and Natural Transformations |
3 Categories and functors |
4 Subcategories |
5 Concrete categories and concrete functors |
6 Natural transformations |
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II Objects and Morphisms |
7 Objects and morphisms in abstract categories |
8 Objects and morphisms in concrete categories |
9 Injective objects and essential embeddings |
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III Sources and Sinks |
10 Sources and sinks |
11 Limits and colimits |
12 Completeness and cocompleteness |
13 Functors and limits |
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IV Factorization Structures |
14 Factorization structures for morphisms |
15 Factorization structures for sources |
16 E-reflective subcategories |
17 Factorization structures for functors |
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V Adjoints and Monads |
18 Adjoint functors |
19 Adjoint situations |
20 Monads |
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VI Topological and Algebraic Categories |
21 Topological categories |
22 Topological structure theorems |
23 Algebraic categories |
24 Algebraic structure theorems |
25 Topologically algebraic categories |
26 Topologically algebraic structure theorems |
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VII Cartesian Closedness and Partial Morphisms |
27 Cartesian closed categories |
28 Partial morphisms, quasitopoi, and topological universes |
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Bibliography |
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Tables |
Functors and morphisms: Preservation properties |
Functors and morphisms: Reflection properties |
Functors and limits |
Functors and colimits |
Stability properties of special epimorphisms |
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Table of Categories |
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Table of Symbols |
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Index |