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: Introduction to Categories and Categorical LogicIntroduction to Categories and Categorical Logic
by - 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.
(8220 views)
Book cover: Higher Operads, Higher CategoriesHigher Operads, Higher Categories
by - arXiv
Higher-dimensional category theory is the study of n-categories, operads, braided monoidal categories, and other such exotic structures. It draws its inspiration from topology, quantum algebra, mathematical physics, logic, and computer science.
(8527 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.
(2356 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.
(8699 views)