Poincaré Conjecture

Visualization of 2D Ricci flow on a surface of...

Image via Wikipedia

Poincaré Conjecture: Every simply connectedclosed 3-manifold is homeomorphic to the 3-sphere.

In a 1904 paper, the French mathematician Jules Henri Poincare stated that every closed simply connected 3-manifold is homeomorphic to the 3-sphere. Dr. Grigory Perelman of the Steklov Institute of Mathematics (part of the Russian Academy of Sciences in St. Petersburg) solved the 100-year-old Poincare conjecture. The ICM awarded Perelman the Field Medal (Noble Prize of Mathematics) for his work, but Perelman refused the Medal.

Links to the proof:


Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s