Abstract and Concrete Categories
Published on 26. April 1990
Book
Hardback
496 pages
978-0-471-60922-3 (ISBN)
Description
The theory of structure is introduced via the language of category theory in this text, which focuses on concrete categories. The authors also provide a systematic treatment of factorization structures, which gives a unifying perspective to past work and summarizes recent developments.
More details
Series
Language
English
Place of publication
New York
United States
Publishing group
John Wiley and Sons Ltd
Target group
College/higher education
Professional and scholarly
Illustrations
bibliography, index
Dimensions
Height: 84 mm
Width: 60 mm
Weight
992 gr
ISBN-13
978-0-471-60922-3 (9780471609223)
Copyright in bibliographic data is held by Nielsen Book Services Limited or its licensors: all rights reserved.
Schweitzer Classification
Persons
Content
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.