Category Theory

Categories, morphisms, functors, natural transformations.

Core Concepts

Key Topics

Essential concepts and areas you should master in category theory.

General Theory of Categories and Functors

Special Categories

Categories and Theories

Categorical Structures

Categorical Algebra

Categories in Geometry and Topology

Homological Algebra

Monoidal Categories and Operads

Higher Categories

Recommended Reading

Recommended Books

Carefully selected books to deepen your understanding of category theory.

Category Theory

Steve Awodey

Category Theory

Tom Leinster

Practice Problems

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