In mathematics, a loop in a topological space is a continuous function from the unit interval to such that In other words, it is a path whose initial point is equal to its terminal point. A loop may also be seen as a continuous map from the pointed unit circle into , because may be regarded as a quotient of under the identification of 0 with 1. The set of all loops in forms a space called the loop space of . See also Free loop Loop group Loop space Loop algebra Fundamental group Quasigroup References Topology es:Grupo fundamental#Lazo