Homotopy groups of spheres
= Homotopy groups of spheres
{wiki=Homotopy_groups_of_spheres}
Homotopy groups of spheres are a fundamental topic in algebraic topology that encapsulate information about the topology of higher-dimensional spheres. More formally, the \\(n\\)-th homotopy group of the \\(n\\)-dimensional sphere \\(S^n\\), denoted \\(\\pi_n(S^n)\\), is defined as the set of homotopy classes of based continuous maps from the \\(n\\)-dimensional sphere \\(S^n\\) to itself.