Applied category theory (ACT) refers to a diverse community of researchers attempting to apply ideas from category theory? to various fields outside of mathematics. A non-exhaustive list of subjects to which category theory has been applied includes physics?, chemistry?, biology?, engineering?, computer science?, economics? and linguistics?.
Much work within ACT shares a common foundation: the use of monoidal categories? to compositionally? describe some class of open systems?. This includes:
Other subfields that do not fall into this general pattern include: