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Informationen zum Autor Jiri Adamek is affiliated with Prague's Charles University and the Academy of Sciences of the Czech Republic. Horst Herrlich is affiliated with the Department of Mathematics at the University of Bremen, Germany. George E. Strecker is a faculty member of the Department of Mathematics at Kansas State University. Klappentext This up-to-date introductory treatment employs category theory to explore the theory of structures. Its unique approach stresses concrete categories and presents a systematic view of factorization structures. Numerous examples. 1990 edition, updated 2004. Inhaltsverzeichnis Preface to the 2004 Edition Preface 0 Introduction1 Motivation 2 Foundations I Categories, Functors, and Natural Transformations 3 Categories and functors4 Subcategories5 Concrete categories and concrete functors6 Natural transformations II Objects and Morphisms7 Objects and morphisms in abstract categories 8 Objects and morphisms in concrete categories9 Injective objects and essential embeddings III Sources and Sinks10 Sources and sinks11 Limits and colimits12 Completeness and cocompleteness13 Functors and limits IV Factorization Structures14 Factorization structures for morphisms15 Factorization structures for sources16 E-reflective subcategories17 Factorization structures for functors V Adjoints and Monads18 Adjoint functors19 Adjoint situations20 Monads VI Topological and Algebraic Categories21 Topological categories22 Topological structure theorems23 Algebraic categories24 Algebraic structure theorems25 Topologically algebraic categories26 Topologically algebraic structure theorems VII Cartesian Closedness and Partial Morphisms27 Cartesian closed categories28 Partial morphisms, quasitopoi, and topological universes Bibliography Tables Functors and morphisms: Preservation propertiesFunctors and morphisms: Reflection propertiesFunctors and limitsFunctors and colimitsStability properties of special epimorphisms Table of Categories Table of Symbols Index...
