Homotopy theory

A mathematical and logical theory that considers "types of things" as "shapes of space."

type = space

Element = Point in space

Equality = the path connecting two points

Equality between equals = Transformation of roads

This approach involves continuously deforming shapes without cutting or pasting them, and considering them to be the same.

A cup is roughly equivalent to a donut; if deformed continuously, it will have the same structure.

“変形し続ける空間”として読む理論

A new mathematical foundational theory that treats the concept of "equality" as a path connecting points or a deformation of space.

空間全体の連続的な変形まで含めた設計理論

Mathematical Architecture

space