Grigori Perelman and the Poincare Conjecture
![](http://i102.photobucket.com/albums/m93/treybeeman/poincare070904.jpg)
Apparently, Grigori Perelman solved a so-called geometrization conjecture, and by way of that, the Poincare Conjecture, which states, "Every simply connected closed (i.e. compact and without boundary) 3-manifold is homeomorphic to a 3-sphere."
So what does that mean? Well, I means that if you have a looped object in 3-dimensional space, it can be shrunk to a single point just as would a sphere. I think it's a confusing concept, because it's counter-counter-intuitive.
I'm still trying to wrap my mind around it honestly--and I'm not the only one--but I hope to have a better understanding of all things matematicas by this time next year.
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