👉 In mathematics, the concept of a "homotopy" is often used to describe a process or mechanism that involves moving objects along a path. This can be seen as a way of describing how one object moves towards another object, using the notion of "moving in the direction of a continuous flow". A homotopy is defined by its properties that allow it to be applied to different types of objects and paths. For example, a homotopy between two paths P1 and P2 can