Betti number
= Betti number
{wiki=Betti_number}
In algebraic topology, Betti numbers are a sequence of integers that provide important information about the topology of a topological space. They are used to classify spaces based on their connectivity properties and to understand their shape and structure. Specifically, the \\(n\\)-th Betti number, denoted \\(b_n\\), represents the rank of the \\(n\\)-th homology group \\(H_n(X)\\) of a topological space \\(X\\).