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 Lecture NotesCategory Theory Lecture Notes
by
Categories originally arose in mathematics out of the need of a formalism to describe the passage from one type of mathematical structure to another. These notes form a short summary of some major topics in category theory.
(12908 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.
(7636 views)
Book cover: Functors and Categories of Banach SpacesFunctors and Categories of Banach Spaces
by - Springer
The aim of this book is to develop the theory of Banach operator ideals and metric tensor products along categorical lines: these two classes of mathematical objects are endofunctors on the category Ban of all Banach spaces in a natural way.
(11553 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.
(12492 views)