A Conversation for The Hairy Ball Theorem

Two special points?

Post 1

toybox

Why will there be two special points and not just one?

For instance, take a plane and some constant vector field, then fold the plane into a punctured sphere and extend the vector field to the whole sphere by 0 on the puncture. Why doesn't this construction work?


Two special points?

Post 2

Gnomon - time to move on

Good question. I can't see anything wrong with what you've said, so I'll see can I find where I read that there will be two "nodes".


Two special points?

Post 3

Gnomon - time to move on

You're right. I've removed the reference to the second point.

Sorry it took me so long to get around to this.

smiley - smiley G


Two special points?

Post 4

toybox

smiley - cheers


Two special points?

Post 5

toybox

Oops, and the Front Page calls it 'Hairy Ball Theorum'. While it is a perfectly acceptable pun in French, I strongly suspect a typo here.


Two special points?

Post 6

Gnomon - time to move on

That's fixed now.


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Two special points?

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