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Basic concepts of enriched category theory

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Published by Cambridge University Press in Cambridge, New York .
Written in English

Subjects:

  • Categories (mathematics),
  • Functor theory.

Book details:

Edition Notes

StatementG.M. Kelly.
SeriesLondon Mathematical Society lecture note series,, 64
Classifications
LC ClassificationsQA169 .K44 1982
The Physical Object
Pagination245 p. :
Number of Pages245
ID Numbers
Open LibraryOL4271815M
ISBN 100521287022
LC Control Number81018015

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Book reviews. BASIC CONCEPTS OF ENRICHED CATEGORY THEORY (London Mathematical Society Lecture Note Series, 64) P. T. Johnstone. John C. Baez, Christian Williams, Enriched Lawvere Theories for Operational Semantics, Electronic Proceedings in Theoretical Computer Science, Cited by: Basic Concepts of Enriched Category Theory G.M. Kelly Originally published as: Cambridge University Press, Lecture Notes in Mathemat Keywords: enriched categories, monoidal categories MSC: , 18D10, 18D20 Republished in: Reprints in Theory and Applications of Categories, No. 10 () pp. BASIC CONCEPTS OF ENRICHED CATEGORY THEORY (London Mathematical Society Lecture Note Series, 64)Cited by: We shall use some basic notions from enriched category theory [Kel82]. We shall be concerned with categories enriched in Equiv, called Equiv-enriched categories, in which the homsets possess .

Basic Concepts of Enriched Category Theory - Free download as PDF File .pdf), Text File .txt) or read online for free. First available in Project Euclid: 4 July Chapter 3. Basic concepts of enriched category theory 25 A first example 26 The base for enrichment 26 Enriched categories 27 Underlying categories of enriched categories 30 Enriched functors and enriched natural transformations 34 Simplicial categories 36 Tensors and cotensors 37 mental parts of category theory. A ‘further reading’ section points to suitable follow-on texts. There are two things that every reader should know about this book. One concerns the examples, and the other is about the exercises. Each new concept is illustrated with a generous supply of examples, but it is not necessary to understand them all. Basic Concepts of Enriched Category Theory by Max Kelly - Cambridge University Press, The book presents a selfcontained account of basic category theory, assuming as prior knowledge only the most elementary categorical concepts. It is designed to supply a connected account of the theory, or at least of a substantial part of it.

At the heart of this short introduction to category theory is the idea of a universal property, important throughout mathematics. After an introductory chapter giving the basic definitions, separate chapters explain three ways of expressing universal properties: via . “This book offers a fast, but very complete, introduction to the basic concepts in category theory, which any reader with a basic knowledge of abstract algebra will follow easily. The theory is very well complemented by a list of proposed exercises at the end of every chapter. Book. Linear Algebra by William Chen; First Year Calculus by William Chen; Basic Concepts of Enriched Category Theory by G.M. Kelly. Edit. Classic editor History Comments Share. Contents. Download Locations Edit. Listing of download locations Categories. Category Theory Lecture Notes for ESSLLI (PDF P) This note covers the following topics related to Category Theory: Functional programming languages as categories, Mathematical structures as categories, Categories of sets with structure, Categories of algebraic structures, Constructions on categories, Properties of objects and arrows, Functors, Diagrams and naturality, Products and sums.