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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
Full Text: DOI

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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