Logo

Abstract and Concrete Categories: The Joy of Cats

Large book cover: Abstract and Concrete Categories: The Joy of Cats

Abstract and Concrete Categories: The Joy of Cats
by

Publisher: John Wiley & Sons
ISBN/ASIN: 0471609226
ISBN-13: 9780471609223
Number of pages: 496

Description:
A modern introduction to the theory of structures via the language of category theory. Unique to this book is the emphasis on concrete categories. Also noteworthy is the systematic treatment of factorization structures, which gives a new, unifying perspective to earlier work and summarizes recent developments. Each categorical notion is accompanied by many examples, usually moving from special cases to more general cases. Comprises seven chapters; the first five present the basic theory, while the last two contain more recent research results in the realm of concrete categories, cartesian closed categories and quasitopoi. The prerequisite is an elementary knowledge of set theory. Contains exercises.

Home page url

Download or read it online for free here:
Download link
(4.2MB, PDF)

Similar books

Book cover: Category Theory for ProgrammersCategory Theory for Programmers
by - 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.
(2057 views)
Book cover: Seminar on Triples and Categorical Homology TheorySeminar on Triples and Categorical Homology Theory
by - Springer
This volume concentrates a) on the concept of 'triple' or standard construction with special reference to the associated 'algebras', and b) on homology theories in general categories, based upon triples and simplicial methods.
(7490 views)
Book cover: Model Categories and Simplicial MethodsModel Categories and Simplicial Methods
by - Northwestern University
There are many ways to present model categories, each with a different point of view. Here we would like to treat model categories as a way to build and control resolutions. We are going to emphasize the analog of projective resolutions.
(6052 views)
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.
(13401 views)