KnowraHomotopyLinked fromLinked fromThe 11 pages that link to Homotopy, each with the reason it gives.All 11Related 9Narrower topic 2TopologyRelated: Homotopy supplies the formal notion of deformation behind many topological classifications.Fundamental theorem of algebraRelated: The winding proof deforms a polynomial’s boundary image without letting it cross zero.Simply connected spaceRelated: A contraction is a homotopy from a loop to a constant map.Algebraic topologyRelated: Homotopy identifies maps that differ by deformation, a central equivalence in homotopy theory.Winding numberRelated: Deforming a curve without crossing the point leaves its winding number unchanged.TorusRelated: Loops on the torus are compared by continuous deformation.Rouché's theoremRelated: The inequality prevents the boundary values from reaching zero during this deformation.Hairy ball theoremRelated: The obstruction persists under deformation, making the theorem topological rather than geometric.Seifert–Van Kampen theoremRelated: The fundamental groups identify loops that are homotopic while fixing their basepoint.