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About this product
Product Identifiers
- PublisherDover Publications, Incorporated
- ISBN-100486469344
- ISBN-139780486469348
- eBay Product ID (ePID)71763227
Product Key Features
- Number of Pages528 Pages
- Publication NameAbstract and Concrete Categories : the Joy of Cats
- LanguageEnglish
- Publication Year2009
- SubjectGroup Theory, Set Theory
- TypeTextbook
- AuthorHorst Herrlich, Barrow Mathematics, Jiri Adamek, George E. Strecker
- Subject AreaMathematics
- SeriesDover Books on Mathematics Ser.
- FormatTrade Paperback
Dimensions
- Item Height1 in
- Item Weight23.2 Oz
- Item Length9.1 in
- Item Width6.1 in
Additional Product Features
- Intended AudienceCollege Audience
- LCCN2009-010561
- Dewey Edition22
- CLASSIFICATION_METADATA{"IsNonfiction":["No"],"IsOther":["No"],"IsAdult":["No"],"MuzeFormatDesc":["Trade Paperback"],"IsChildren":["No"],"Genre":["MATHEMATICS"],"Topic":["Set Theory","Group Theory"],"IsTextBook":["Yes"],"IsFiction":["No"]}
- IllustratedYes
- Dewey Decimal512/.62
- Table Of ContentPreface 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
- SynopsisThis up-to-date introductory treatment employs the language of category theory to explore the theory of structures. Its unique approach stresses concrete categories, and each categorical notion features several examples that clearly illustrate specific and general cases. A systematic view of factorization structures, this volume contains seven chapters. The first five focus on basic theory, and the final two explore more recent research results in the realm of concrete categories, cartesian closed categories, and quasitopoi. Suitable for advanced undergraduate and graduate students, it requires an elementary knowledge of set theory and can be used as a reference as well as a text. Updated by the authors in 2004, it offers a unifying perspective on earlier work and summarizes recent developments., 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., 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, offering a unifying perspective on earlier work and summarizing recent developments. Numerous examples, ranging from general to specific, illuminate the text. 1990 edition, updated 2004.
- LC Classification NumberQA169.A3199 2009
- Copyright Date2009
- ebay_catalog_id4
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