Basic Concepts of Enriched Category Theory
by Max Kelly
Publisher: Cambridge University Press 2005
ISBN/ASIN: 0521287022
ISBN-13: 9780521287029
Number of pages: 143
Description:
Although numerous contributions from divers authors have brought enriched category theory to a developed state, there is still no connected account of the theory, or even of a substantial part of it. The present book is designed to supply the want in part, by giving a fairly complete treatment of the limited area to which the title refers. The basic concepts of category theory certainly include the notion of functor-category, of limit and colimit, of Kan extension, and of density; with their applications to completions, perhaps including those relative completions given by categories of algebras for limit-defined theories.
Download or read it online for free here:
Download link
(multiple formats)
Similar books
Introduction to Categories and Categorical Logicby Samson Abramsky, Nikos Tzevelekos - arXiv
These notes provide a succinct, accessible introduction to some of the basic ideas of category theory and categorical logic. The main prerequisite is a basic familiarity with the elements of discrete mathematics: sets, relations and functions.
(14899 views)
Category Theory Lecture Notesby Daniele Turi - University of Edinburgh
These notes were written for a course in category theory. The course was designed to be self-contained, drawing most of the examples from category theory itself. It was intended for post-graduate students in theoretical computer science.
(13936 views)
Abstract and Concrete Categories: The Joy of Catsby Jiri Adamek, Horst Herrlich, George Strecker - John Wiley & Sons
A modern introduction to the theory of structures via the language of category theory, the emphasis is on concrete categories. The first five chapters present the basic theory, while the last two contain more recent research results.
(22987 views)
Notes on Category Theory with examples from basic mathematicsby Paolo Perrone - arXiv
These notes were originally developed as lecture notes for a category theory course. They should be well-suited to anyone that wants to learn category theory from scratch and has a scientific mind. There is no need to know advanced mathematics.
(2900 views)