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Abstract and Concrete Categories: The Joy of Cats

J. Adámek, H. Herrlich, and G. E. Strecker
Publisher: 
Dover Publications
Publication Date: 
2009
Number of Pages: 
517
Format: 
Paperback
Price: 
24.95
ISBN: 
9780486469348
Category: 
Monograph
We do not plan to review this book.
Preface to the 2004 Edition
 
Preface
 
0 Introduction
1 Motivation
2 Foundations
 
I Categories, Functors, and Natural Transformations
3 Categories and functors
4 Subcategories
5 Concrete categories and concrete functors
6 Natural transformations
 
II Objects and Morphisms
7 Objects and morphisms in abstract categories
8 Objects and morphisms in concrete categories
9 Injective objects and essential embeddings
 
III Sources and Sinks
10 Sources and sinks
11 Limits and colimits
12 Completeness and cocompleteness
13 Functors and limits
 
IV Factorization Structures
14 Factorization structures for morphisms
15 Factorization structures for sources
16 E-reflective subcategories
17 Factorization structures for functors
 
V Adjoints and Monads
18 Adjoint functors
19 Adjoint situations
20 Monads
 
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
 
VII Cartesian Closedness and Partial Morphisms
27 Cartesian closed categories
28 Partial morphisms, quasitopoi, and topological universes
 
Bibliography
 
Tables
Functors and morphisms: Preservation properties
Functors and morphisms: Reflection properties
Functors and limits
Functors and colimits
Stability properties of special epimorphisms
 
Table of Categories
 
Table of Symbols
 
Index

Dummy View - NOT TO BE DELETED