Category Theory (CT) is a highly abstract branch of mathematics developed in the mid-20th century by Samuel Eilenberg and Saunders Mac Lane, originally to formalize connections between algebra and topology. While traditional Set Theory defines mathematical structures by their internal elements, CT focuses on the relationships between them. A category consists of "objects" (e.g., sets, spaces, or data types) and "morphisms" or arrows (e.g., functions or transformations) between objects, alongside a rule for composing these arrows. Today, Applied Category Theory (ACT) serves as a universal language for modeling complex, compositional systems across diverse scientific disciplines.

Computer Science & Software Engineering In computer science, CT provides a rigorous foundation for functional programming languages like Haskell. In this paradig ...