👉 Inversivity, also known as homogeneity or homotopy invariance, is a concept in topology and geometry that refers to the property of a topological space that does not depend on how the points are arranged. Inverse invariance means that the same properties remain true regardless of whether the points are placed in an open set, closed set, or any other type of compact set. For example, consider two differentiable functions f and g defined on the interval [a, b