Category
page 1Theorems in differential topology
hairy ball theorem
theorem which states that there is no nonvanishing continuous tangent vector field on even-dimensional n-spheres
Poincaré–Hopf theorem
theorem relating the Euler characteristic of a closed manifold to the number of zeros of a vector field on it
Frobenius theorem
theorem that a distribution is integrable iff it arises from a regular foliation
Whitney embedding theorem
theorem