Functorial Classification of Political Groups in the Meiji Restoration

Category theory, which has been applied to various fields of computer science and information technology, now provides a mathematical foundation for the development of information systems. The Meiji restoration, which is characterized by a flexible structure where making and breaking alliances among politicians were common and policy migrations of the politicians occurred dynamically in accordance with the progress of the restoration, is analyzed using category theory. Four political goals, which were initiated at the beginning of the Meiji restoration, were achieved by politicians who sometimes cooperated with each other, other times opposed each other, and still other times changed their policy in consideration of the political and financial environments. It is valuable for computer science to describe a dynamically changing system formally using conceptual mathematics. This paper clarifies the dynamic relationship changes of politicians using category theory. In particular, alliance changes of politicians between incidents are represented using functorial databases that are a recent and useful application of category theory.