... >> Mathematics >> Field Of Topology >> Hairy Ball Theorem
Highest Rated Sign
Nobody has posted a sign yet.
Hairy Ball Theorem
Definition: There does not exist an everywhere nonzero tangent vector field on the 2-sphere S^2. This implies that somewhere on the surface of the Earth, there is a point with zero horizontal wind velocity. The theorem can be generalized to the statement that the n-sphere S^n has a nonzero tangent vector field if and only if n is odd.