@FieldsInstitute Except that the atmosphere is a noncompact, 3D manifold with boundary, not a sphere 
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... if only for a nanosecond!
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Well it isn't in south east England today!
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Sounds close to Brouwer's fixed point theorem, applied in economic theory...
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It lets you know that combing a tennis ball is a waste of time, to begin with.
End of conversation
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Oblate Spheroids?
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Yes: use winding number and that a small counterclockwise arc around a point is homotopic to a small clockwise arc around the same point
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