Logo

Category Theory Lecture Notes

Small book cover: Category Theory Lecture Notes

Category Theory Lecture Notes
by


Number of pages: 133

Description:
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.

Download or read it online for free here:
Download link
(820KB, PDF)

Similar books

Book cover: Combinatorics and Algebra of Tensor CalculusCombinatorics and Algebra of Tensor Calculus
by - arXiv
In this paper, we reveal the combinatorial nature of tensor calculus for strict tensor categories and show that there exists a monad which is described by the coarse-graining of graphs and characterizes the algebraic nature of tensor calculus.
(1570 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.
(6425 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.
(4934 views)
Book cover: Abstract and Concrete Categories: The Joy of CatsAbstract and Concrete Categories: The Joy of Cats
by - John Wiley & Sons
A modern introduction to the theory of structures via the language of category theory, the emphasis is on concrete categories. The first five chapters present the basic theory, while the last two contain more recent research results.
(11878 views)