Motivation |
Foundations |
Categories, Functors, And Natural Transformations |
Categories and Functors |
Subcategories |
Concrete Categories and Concrete Functors |
Natural Transformations |
Objects And Morphisms |
Objects and Morphisms in Abstract Categories |
Objects and Morphisms in Concrete Categories |
Injective Objects and Essential Embeddings |
Sources And Sinks |
Sources and Sinks |
Limits and Colimits |
Completeness and Cocompleteness |
Functors and Limits |
Factorization Structures |
Factorization Structures for Morphisms |
Factorization Structures for Sources |
E-Reflective Subcategories |
Factorization Structures for Functors |
Adjoints And Monads |
Adjoint Functors |
Adjoint Situations |
Monads |
Topological And Algebraic Categories |
Topological Categories |
Topological Structure Theorems |
Algebraic Categories |
Algebraic Structure Theorems |
Topologically Algebraic Categories |
Topologically Algebraic Structure Theorems |
Cartesian Closedness And Partial Morphisms |
Cartesian Closed Categories |
Partial Morphisms, Quasitopoi, and Topological Universes |
Bibliography |
Tables |
Table of Categories |
Table of Symbols |
Index |
Motivation |
Foundations |
Categories, Functors, And Natural Transformations |