👉 In mathematics, cohomology is a category of mathematical structures that generalizes the concept of homology in topology. It is used to study the relationship between different components of a topological space and their behavior under continuous deformations. Cohomology groups are defined as follows: 1. Homology: This is the collection of all possible orientations of a topological space, which means it is the set of all continuous maps from the point to itself. The degree of an orientation on a topological