Whitehead's theorem

The Whitehead Theorem is the name given to the following two theorems of algebraic topology , which go back to JHC Whitehead and are not related to one another :

• Every weak homotopy equivalence between CW complexes is a homotopy equivalence, see homotopy equivalence # Satz_von_Whitehead
• Every differentiable manifold is triangulable, see Triangulierbarkeit # Triangulierbarkeit_von_manifolds