[math-fun] Millennium Prize Awarded For Perelman's Poincaré Proof
http://science.slashdot.org/story/10/03/19/0540249/Millennium-Prize-Awarded-... "The Clay Mathematics Institute has <http://www.claymath.org/poincare/>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 <http://en.wikipedia.org/wiki/Solution_of_the_Poincar%C3%A9_conjecture>sketch of the proof using language intended for the lay reader is available at Wikipedia." ... --- co-chair http://ocjug.org/
---------- Forwarded message ---------- From: Ray Tayek <rtayek@ca.rr.com> Date: Mar 19, 2010 8:37 PM Subject: [math-fun] Millennium Prize Awarded For Perelman's Poincaré Proof To: math-fun <math-fun@mailman.xmission.com> http://science.slashdot.org/story/10/03/19/0540249/Millennium-Prize-Awarded-... "The Clay Mathematics Institute has <http://www.claymath.org/poincare/>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 <http://en.wikipedia.org/wiki/Solution_of_the_Poincar%C3%A9_conjecture>sketch of the proof using language intended for the lay reader is available at Wikipedia." ... --- co-chair http://ocjug.org/ _______________________________________________ math-fun mailing list math-fun@mailman.xmission.com http://mailman.xmission.com/cgi-bin/mailman/listinfo/math-fun
participants (2)
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Fred lunnon -
Ray Tayek