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*.

Read more about Timeline Of Category Theory And Related Mathematics: Timeline To 1945: Before The Definitions, 1945–1970, 1971–1980, 1981–1990, 1991–2000, 2001–present, See Also

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