An extremely short proof of the hairy ball theorem. (English) Zbl 1391.55002
Summary: Using winding numbers, we give an extremely short proof that every continuous field of tangent vectors on \(S^2\) must vanish somewhere.
MSC:
55M25 | Degree, winding number |
References:
[1] | W. Chinn, N. Steenrod, First Concepts of Topology.Mathematical Association of America, Washington, DC, 1966. · Zbl 0201.55303 |
[2] | M. Eisenberg, R. Guy, A proof of the Hairy Ball theorem, Amer. Math. Monthly 86 (1979) 571-574. · Zbl 0433.57011 |
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