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Category Theory



Spencer Breiner, Eswaran Subrahmanian, Ram Sriram


Category theory (CT) is a branch of mathematics concerned with the representation and composition of structured relationships. Recent interest in systems engineering (SE) stems from the possibility that CT might provide a principled mathematical foundation that SE currently lacks. The case is bolstered by a broad array of existing applications in probability, computing, data and dynamics, as well as a track record of unification in science and mathematics. However, the tools and methodology for applying CT within engineering are mostly at the level of prototype and proof-of-concept, and there is significant research needed to adapt these methods to an SE context.
Handbook of Systems Engineering
Publisher Info
Springer, New Delhi,


Category theory, systems engineering, mathematical modeling, composition


Breiner, S. , Subrahmanian, E. and Sriram, R. (2023), Category Theory, Handbook of Systems Engineering, Springer, New Delhi, , [online],, (Accessed April 23, 2024)
Created January 25, 2023, Updated February 16, 2024