Category Theory

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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.
» Applied and Computational Category Theory - A brief description of category theory, and some useful links.
» 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 Project - The aim of this project is the development of software on a wide variety of platforms for computing with mathematical categories and associated algebraic structures.
» Descent and Category Theory Connections - Maintained by M. Alsani.
» 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.
» Structures Directory - Email directory of logicians, algebraists, and programming linguists working primarily on structural problems in mathematics and computer science.
» The Computational Category Theory Project - The aim of the project is the development of software on a wide variety of platforms for computing with mathematical categories and associated algebraic structures.
» 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.