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What (who) is category theory - definition
Category theory
BRANCH OF MATHEMATICS STUDYING CATEGORIES, FUNCTORS, AND NATURAL TRANSFORMATIONS
CategoryTheory; Category Theory; Category theoretic; Category-theoretic; Categorical point of view; Draft:Applied Category Theory; Object of a category
Category theory is a general theory of mathematical structures and their relations that was introduced by Samuel Eilenberg and Saunders Mac Lane in the middle of the 20th century in their foundational work on algebraic topology. Nowadays, category theory is used in almost all areas of mathematics, and in some areas of computer science.
Outline of category theory
OVERVIEW OF AND TOPICAL GUIDE TO CATEGORY THEORY
List of category theory topics
The following outline is provided as an overview of and guide to category theory, the 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.
Category of medial magmas
CATEGORY IN MATHEMATICS
Medial category; Med (category theory)
In mathematics, the category of medial magmas, also known as the medial category, and denoted Med, is the category whose objects are medial magmas (that is, sets with a medial binary operation), and whose morphisms are magma homomorphisms (which are equivalent to homomorphisms in the sense of universal algebra).
