👉 In mathematics, a homologous manifold is a type of manifold that can be embedded in a projective space. These manifolds are defined by equations involving an embedding parameter, which is typically a function from the ambient Euclidean space to the projective space. A homology group is a way to classify the different possible ways a space can be constructed as a topological space. In other words, it's a way of categorizing all possible ways in which a given space can be embedded