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.
