Abstract and Concrete Categories: The Joy of Cats
by Jiri Adamek, Horst Herrlich, George Strecker
Publisher: John Wiley & Sons 1990
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.
Download or read it online for free here:
Download link
(4.2MB, PDF)
Similar books
Category Theory- Wikibooks
This book is an introduction to category theory, written for those who have some understanding of one or more branches of abstract mathematics, such as group theory, analysis or topology. It contains examples drawn from various branches of math.
(7234 views)
Basic Category Theoryby Jaap van Oosten - University of Utrecht
Contents: Categories and Functors; Natural transformations; (Co)cones and (Co)limits; A little piece of categorical logic; Adjunctions; Monads and Algebras; Cartesian closed categories and the lambda-calculus; Recursive Domain Equations.
(7335 views)
Mixed Motivesby Marc Levine - American Mathematical Society
This book combines foundational constructions in the theory of motives and results relating motivic cohomology to more explicit constructions. Prerequisite for understanding the work is a basic background in algebraic geometry.
(9756 views)
Toposes, Triples and Theoriesby Michael Barr, Charles Wells - Springer-Verlag
Introduction to toposes, triples and theories and the connections between them. The book starts with an introduction to category theory, then introduces each of the three topics of the title. Exercises provide examples or develop the theory further.
(9527 views)