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In three dimensions, the only closed flux surface corresponding to a ''non-vanishing'' vector field is a topological toroid. | In three dimensions, the only closed flux surface corresponding to a ''non-vanishing'' vector field is a topological toroid. | ||
<ref>The Poincaré-Hopf Theorem.</ref> | <ref>[[:Wikipedia:Hairy_ball_theorem|The Poincaré-Hopf Theorem]].</ref> | ||
This fact lies at the basis of the design of magnetic confinement devices. | This fact lies at the basis of the design of magnetic confinement devices. | ||