Timeline of category theory and related mathematics

This is a timeline of category theory and related mathematics. Its scope ("related mathematics") is taken as:
 * Categories of abstract algebraic structures including representation theory and universal algebra;
 * Homological algebra;
 * Homotopical algebra;
 * Topology using categories, including algebraic topology, categorical topology, quantum topology, low-dimensional topology;
 * Categorical logic and set theory in the categorical context such as algebraic set theory;
 * Foundations of mathematics building on categories, for instance topos theory;
 * Abstract geometry, including algebraic geometry, categorical noncommutative geometry, etc.
 * Quantization related to category theory, in particular categorical quantization;
 * Categorical physics relevant for mathematics.

In this article, and in category theory in general, ∞ = ω.