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Abstracts and concrete categories : the joy of cats

Author: Jiří Adámek; Horst Herrlich; George E Strecker
Publisher: New York : John Wiley, ©1990
Series: Pure and applied mathematics
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

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  Read more...

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Document Type: Book
All Authors / Contributors: Jiří Adámek; Horst Herrlich; George E Strecker
ISBN: 0471609226 9780471609223
OCLC Number: 476274998
Description: 482 s. : illustrations
Contents: 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.
Series Title: Pure and applied mathematics
Responsibility: Jiří Adámek, Horst Herrlich, George E. Strecker

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