👉 A homologizer is a function that can be defined as a linear transformation from one vector space to another, such that it maps vectors in one space onto vectors in the other. This means that the kernel of the homology operator is equal to the image of the homology operator, and vice versa. For example, consider two vector spaces V and W over a field K (such as the real or complex numbers), and let f: V → W be a linear transformation. The homology
