**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

**Category Theory for Scientists**

by

**David I. Spivak**-

**arXiv**

We attempt to show that category theory can be applied throughout the sciences as a framework for modeling phenomena and communicating results. In order to target the scientific audience, this book is example-based rather than proof-based.

(

**6307**views)

**Category Theory in Context**

by

**Emily Riehl**-

**Dover Publications**

This is a concise, original text for a one-semester introduction to the subject. The treatment introduces the essential concepts of category theory: categories, functors, natural transformations, the Yoneda lemma, limits and colimits, monads, etc.

(

**1183**views)

**Category Theory for Programmers**

by

**Bartosz Milewski**-

**unglue.it**

Category theory is the kind of math that is particularly well suited for the minds of programmers. It deals with the kind of structure that makes programs composable. And I will argue strongly that composition is the essence of programming.

(

**2748**views)

**Introduction to Categories and Categorical Logic**

by

**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.

(

**8586**views)