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1.  Information About Category Theory open in new window
In mathematics, category theory deals in an abstract way with mathematical structures and relationships between them.
www.thefreedictionary.com
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A Gentle Introduction to Category Theory open in new window
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.
(http://wwwhome.cs.utwente.nl/~fokkinga/mmf92b.html)

Applied and Computational Category Theory open in new window
A brief description of category theory, and some useful links.
(http://www.risc.uni-linz.ac.at/research/category/)

Categorical Myths and Legends open in new window
An archive of stories about category theorists.
(http://www.mcs.le.ac.uk/~ah83/cat-myths/)

Categories Home Page open in new window
Web page for the category theory mailing list.
(http://www.mta.ca/~cat-dist/)

Categories, Quantization, and Much More open in new window
Introductory article by John Baez.
(http://math.ucr.edu/home/baez/categories.html)

Category Theory open in new window
This expository article is an entry in the Stanford Encyclopedia of Philosophy.
(http://plato.stanford.edu/entries/category-theory/)

Category Theory and Homological Algebra open in new window
In the "known maths" series.
(http://www.math.niu.edu/~rusin/known-math/index/18-XX.html)

Computational Category Theory Project open in new window
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.
(http://www.mcs.le.ac.uk/~ah83/compcat/)

CT Category Theory open in new window
Section of the e-print arXiv dealing with category theory, including such topics as: enriched categories, topoi, abelian categories, monoidal categories, homological algebra.
(http://front.math.ucdavis.edu/math.CT)

Descent and Category Theory Connections open in new window
Maintained by M. Alsani.
(http://north.ecc.edu/alsani/descent.html)

Open Problems on Model Categories open in new window
Problems on model categories listed by Mark Hovey at Wesleyan University.
(http://claude.math.wesleyan.edu/~mhovey/problems/model.html)

Paul Taylor's Home Page open in new window
Includes papers on category theory.
(http://www.dcs.qmw.ac.uk/~pt/)

Structures Directory open in new window
Email directory of logicians, algebraists, and programming linguists working primarily on structural problems in mathematics and computer science.
(http://boole.stanford.edu/pub/structdir)

The Computational Category Theory Project open in new window
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.
(http://www.unico.it/~walters/comcat/comcatproj.html)

Toposes, Triples and Theories open in new window
By Michael Barr and Charles Wells, 1983. A revised and corrected version is now available free for downloading. Formats: DVI, PDF, PostScript.
(http://www.cwru.edu/artsci/math/wells/pub/ttt.html)


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