👉 In mathematics, a homological property is a property that holds for all objects in some category. These properties are used to classify and distinguish different categories or concepts. For example, one might define a homological property as follows: - Homology (or homotopy) is the concept of studying the relationship between the topological spaces of a given object and its derived structures. - In a category with a single object, homology is defined as the degree of homotopies from an object to
