Homology, Homotopy and Applications

"Homology" and "homotopy" are key concepts in algebraic topology, a branch of mathematics that studies topological spaces with the tools of abstract algebra. ### Homology Homology provides a way to associate a sequence of algebraic objects (like groups or vector spaces) to a topological space. - **Purpose**: It can be used to classify spaces based on their topological features, such as holes of different dimensions.