 Hilton's theorem

Hilton's theorem is a result in the field of algebraic topology, specifically concerning the relationships between the homotopy groups of spheres and certain types of function spaces. The theorem is named after the mathematician Paul Hilton. The essence of Hilton's theorem deals with the stable homotopy groups of spheres. More precisely, it states that the stable homotopy groups of spheres can be completely described using the stable homotopy type of the space of pointed maps from a sphere into a sphere.