# 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