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Millennium Prize Awarded For Perelman's Poincaré Proof117

epee1221 writes "The Clay Mathematics Institute has announced its acceptance of Dr. Grigori Perelman's proof of the Poincaré conjecture and awarded the first Millennium Prize. Poincaré questioned whether there exists a method for determining whether a three-dimensional manifold is a spherical: is there a 3-manifold not homologous to the 3-sphere in which any loop can be gradually shrunk to a single point? The Poincaré conjecture is that there is no such 3-manifold, i.e. any boundless 3-manifold in which the condition holds is homeomorphic to the 3-sphere. A sketch of the proof using language intended for the lay reader is available at Wikipedia."
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Millennium Prize Awarded For Perelman's Poincaré Proof

on Friday March 19, 2010 @08:14AM (#31534798) Homepage Journal

...deter-mining the internal squared volume of a spherical cavity [goatse.fr]?

• Well, sure (Score:2, Funny)

<BadAnalogyGuy@gmail.com> on Friday March 19, 2010 @08:21AM (#31534832)

Look, if you're going to use Ricci Flow to complete the proof, we all might as well pack up and go home. It's like the cheat code for all these manifold questions.

• Bread and Cheese (Score:3, Funny)

on Friday March 19, 2010 @08:38AM (#31534944)
I hope Perelman will be able to afford better food than bread and cheese now.
• Re:I'm amazed. (Score:4, Funny)

on Friday March 19, 2010 @08:48AM (#31535014) Journal

Yeah, Perelman thinks he's so smart. Feh.

Math ain't rocket science.

• Re:Well, sure (Score:3, Funny)

on Friday March 19, 2010 @09:14AM (#31535394)
Look, if you're going to use the Quadratic Formula to complete the proof, we all might as well pack up and go home. It's like the cheat code for all these binomial questions

on Friday March 19, 2010 @09:41AM (#31535942)

Maybe read the second sentence of my post? Or read the post at all before replying to it? Maybe use question marks to mark questions, not childish, unhelpful snark?

• Who the fuck cares? (Score:2, Funny)

on Friday March 19, 2010 @09:48AM (#31536104)

The /. eds could make this article 10x more relevant to most people by titling it 'Man wins million dollar mental masturbation prize' or by explaining the practical applications of this discovery. Instead the summary is a list of techno jargon that'd put Star Trek to shame with no mention of the \$\$ prize nor details of the winner. Who is this guy? Why did someone give him so much money for solving for x? Can I too win cash money for balls? If not, can I out source next year's winner to india and take a cut of the prize?

• Re:What does he win? (Score:1, Funny)

by Anonymous Coward on Friday March 19, 2010 @10:54AM (#31537626)
that's the same code I use on my loggage
• Re:controversial "proof" (Score:4, Funny)

on Friday March 19, 2010 @11:23AM (#31538352)

I find the concept of mathematicians having fanboys who flame each other over proofs to be disturbing.

• Re:Bread and Cheese (Score:1, Funny)

by Anonymous Coward on Friday March 19, 2010 @11:35AM (#31538634)

I hope Perelman will be able to afford better food than bread and cheese now.

Indeed. it's all "pain et fromage" from now on.

• Re:Bread and Cheese (Score:3, Funny)

on Friday March 19, 2010 @12:02PM (#31539192) Journal

Given his personality, I think he'll rather appreciate the fact that he can afford more bread and cheese now.

on Friday March 19, 2010 @01:28PM (#31540698) Homepage

Well, I think the real question in this case should be what is the topology of the shape in question (the human body)? Isn't the so-called "cavity" really just a long tube connecting two openings to the outer surface? If that be the only set of connected openings, then the body would be homeomorphic to a torus.

However, there's a complex set of connected openings in the head: 2 nostrils, 2 tear ducts, and the mouth all connect to each other inside. I don't know what this is referred to as, topologically. Perhaps someone can help me out here. I'm guessing it's a quad-torus, and combined with the hole above makes the total a quintuple-torus?

We do, of course, assume that no other piercings have been made.

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