The following outline is provided as an overview of and guide to category theory:
Category theory – area of study in mathematics that examines in an abstract way the properties of particular mathematical concepts, by formalising them as collections of objects and arrows (also called morphisms, although this term also has a specific, non category-theoretical sense), where these collections satisfy certain basic conditions. Many significant areas of mathematics can be formalised as categories, and the use of category theory allows many intricate and subtle mathematical results in these fields to be stated, and proved, in a much simpler way than without the use of categories.
Essence of category theory 
Branches of category theory 
Specific categories 
Additive structure 
Dagger categories 
Monoidal categories 
Cartesian closed category 
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Topoi, toposes 
History of category theory 
- Main article: History of category theory
Persons influential in the field of category theory 
Category theory scholars 
See also 
External links 
- nLab, a wiki project on mathematics, physics and philosophy with emphasis on the n-categorical point of view
- André Joyal, CatLab, a wiki project dedicated to the exposition of categorical mathematics
- Hillman, Chris. A Categorical Primer. CiteSeerX: 10.1.1.24.3264: formal introduction to category theory.
- J. Adamek, H. Herrlich, G. Stecker, Abstract and Concrete Categories-The Joy of Cats
- Stanford Encyclopedia of Philosophy: "Category Theory"—by Jean-Pierre Marquis. Extensive bibliography.
- List of academic conferences on category theory
- Baez, John, 1996,"The Tale of n-categories." An informal introduction to higher order categories.
- WildCats is a category theory package for Mathematica. Manipulation and visualization of objects, morphisms, categories, functors, natural transformations, universal properties.
- The catsters, a YouTube channel about category theory.
- Category Theory, PlanetMath.org.
- Video archive of recorded talks relevant to categories, logic and the foundations of physics.
- Interactive Web page which generates examples of categorical constructions in the category of finite sets.