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Posted By: I. S. Poincare conjecture proven - 08/23/06 05:15 AM
At least so it seems:

Click here

At long last, a man who (seemingly) is more interested in achievement than attaboys. Seems a bit of a queer duck though.

I'm still waiting to see how this will affect my life, but it seems to have a better chance of doing so than the recent proof of Fermat's Last Theorem...
Posted By: dehammer Re: Poincare conjecture proven - 08/23/06 02:12 PM
This seems to have a lot of importance to high level physics. Can anyone explain in lesser physic levels what it is important for?
Posted By: Uncle Al Re: Poincare conjecture proven - 08/23/06 05:32 PM
A 3-sphere cannot be continuously deformed into a 3-torus, or vice-versa. (The surface of a ball is a 2-sphere.) Dimensions 1, 2, plus 4 and greater have been proven. It's kinda useful if you want topology to exist.

http://www.claymath.org/millennium/Poincare_Conjecture/
http://mathworld.wolfram.com/PoincareConjecture.html
http://en.wikipedia.org/wiki/Poincar%C3%A9_conjecture

Grigory Perelman is an autist. He is mutant brilliant in application and has no feeling (literally) for external validation. He should be cherished and nurtured. Install him in the Googleplex, maintain his mortal needs, and allow him to do whatever he wishes unfettered. At worst he produces nothing more - thereby being less harmful than Congress.
Posted By: dehammer Re: Poincare conjecture proven - 08/23/06 08:35 PM
I found all three of those when i googled this after reading the first point. I still dont understand what its really all about. Does it have any impact on none math or lower levels of physics, or is it just a math problem for very high levels of math.
Posted By: TheFallibleFiend Re: Poincare conjecture proven - 08/23/06 08:43 PM
Try this: http://www.slate.com/id/2147954

It could conceivably have some future effect. For now it's going to effect the way some very smart people think about the world.

I also anticipate an onslaught of essays by theologians explaining how God conveyed this fundamental mathematical principle to the ancients in their particular holy reference manual.
Posted By: TwoSheds Re: Poincare conjecture proven - 08/23/06 08:49 PM
Thow shalt not continuously deform a 3-sphere into a 3-torus?
Posted By: dehammer Re: Poincare conjecture proven - 08/23/06 09:15 PM
thanks tff, that makes sense of it.
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