KnowraHomotopy equivalenceLinked fromLinked fromThe 9 pages that link to Homotopy equivalence, each with the reason it gives.All 9Broader topic 3Related 2Compared with 4HomotopyBroader topic: It uses homotopies to define when two spaces have the same homotopy type.Whitehead theoremBroader topic: This is the stronger conclusion guaranteed for the specified spaces.Generalized Poincaré conjectureBroader topic: The hypothesis asks a manifold to have the sphere’s homotopy type, not merely its homology.