2Mon𝒲𝒾𝓀𝒾

Categories

A category is a thickened set. Categories, and category theory, have applications in a wide range of fields of mathematics, and are often used to describe algebraic structures by looking at how they related with each other, rather than how they are structured.

Definition

Definition Category A category is a set π’žοΈ€ equipped, for objects 𝑋,π‘Œ:π’žοΈ€, a set of morphisms π’žοΈ€(𝑋,π‘Œ).