Logo

Basic Concepts of Enriched Category Theory

Small book cover: Basic Concepts of Enriched Category Theory

Basic Concepts of Enriched Category Theory
by

Publisher: Cambridge University Press
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.

Home page url

Download or read it online for free here:
Download link
(multiple formats)

Similar books

Book cover: Categories, Types, and StructuresCategories, Types, and Structures
by - MIT Press
Here is an introduction to category theory for the working computer scientist. It is a self-contained introduction to general category theory and the mathematical structures that constitute the theoretical background.
(19830 views)
Book cover: Categories and Homological AlgebraCategories and Homological Algebra
by - UPMC
These notes introduce the language of categories and present the basic notions of homological algebra, first from an elementary point of view, next with a more sophisticated approach, with the introduction of triangulated and derived categories.
(10997 views)
Book cover: Dynamical Systems and SheavesDynamical Systems and Sheaves
by - arXiv
A categorical framework for modeling and analyzing systems in a broad sense is proposed. These systems should be thought of as 'machines' with inputs and outputs, carrying some sort of signal that occurs through some notion of time.
(7771 views)
Book cover: Abelian Categories: an Introduction to the Theory of FunctorsAbelian Categories: an Introduction to the Theory of Functors
by - Harper and Row
From the table of contents: Fundamentals (Contravariant functors and dual categories); Fundamentals of Abelian categories; Special functors and subcategories; Metatheorems; Functor categories; Injective envelopes; Embedding theorems.
(14420 views)