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A Gentle Introduction to Category Theory
- Lecture notes by Maarten M. Fokkinga introducing some important notions from category theory, in particular adjunctions. Proofs are given in a calculational style, and the (few) examples are taken from algorithmics. The text is a long PostScript file.
CT Category Theory
- Section of the e-print arXiv dealing with category theory, including such topics as: enriched categories, topoi, abelian categories, monoidal categories, homological algebra.
Categorical Myths and Legends
- An archive of stories about category theorists.
Categories Home Page
- Web page for the category theory mailing list.
Categories, Quantization, and Much More
- Introductory article by John Baez.
Category Theory
- This expository article is an entry in the Stanford Encyclopedia of Philosophy.
Category Theory and Homological Algebra
- In the "known maths" series.
Computational Category Theory
- An implementation of concepts and constructions from category theory in the functional programming language Standard ML. Documentation and code.
Descent and Category Theory Connections
- Maintained by M. Alsani.
Groupoid Home Page
- Maintained by Birant Ramazan. Address book, open problems, meetings, pictures, other resources.
Groupoids
- Notes by Ronald Brown.
Higher-Dimensional Categories
- An illustrated guide book by Eugenia Cheng and Aaron Lauda. [pdf]
Open Problems on Model Categories
- Problems on model categories listed by Mark Hovey at Wesleyan University.
Paul Taylor's Home Page
- Includes papers on category theory.
Toposes, Triples and Theories
- By Michael Barr and Charles Wells, 1983. A revised and corrected version is now available free for downloading. Formats: DVI, PDF, PostScript.
