Homeotopy
In algebraic topology, an area of mathematics, a homeotopy group of a topological space is a homotopy group of the group of self-homeomorphisms of that space. == Definition == The homotopy group functors π k {\displaystyle \pi _{k}} assign to each path-connected topological space X {\displaystyle X} the group π k ( X ) {\displaystyle \pi _{k}(X)} of homotopy classes of continuous maps S k → X .