## PoincarÃ© Conjecture

Posted on August 15, 2006 Comments (4)

The PoincarÃ© Conjecture in simple terms “states that the three-sphere is the only type of bounded three-dimensional space possible that contains no holes. This conjecture was first proposed in 1904 by H. PoincarÃ©” – Mathworld

Elusive Proof, Elusive Prover: A New Mathematical Mystery:

Also left hanging, for now, is $1 million offered by the Clay Mathematics Institute in Cambridge, Mass., for the first published proof of the conjecture, one of seven outstanding questions for which they offered a ransom back at the beginning of the millennium.

The Clay Math Institute site has more on the PoincarÃ© Conjecture. Read about the rest of their Millennium Problems – 6 more problems each with a $1 million prize.

4 Responses to “PoincarÃ© Conjecture”

Leave a Reply

October 7th, 2007 @ 4:59 pm

“The researchers have discovered that Archimedes was working out principles that, centuries later, would form the heart of calculus and that he had a more sophisticated understanding of the concept of infinity than anyone had realized…”

October 30th, 2007 @ 1:34 pm

“But today I am thrilled to be able to announce that after only five months the prize is won”“and we have answer: the Turing machine is in fact universal! Alex Smith”“a 20-year-old undergraduate from Birmingham, UK”“has produced a 40-page proof…”

November 10th, 2007 @ 12:24 pm

Newton Fellowships for those who would like to become math teachers in New York City (for 180 individuals between 2004 and 2008). They plan to expand the program to other cities in the future…

July 26th, 2009 @ 5:52 pm

[…] BBC Dangerous Knowledge web site – PoincarÃ© Conjecture – Problems Programming Math – Compounding is the Most Powerful Force in the Universe – Innovation […]