Is Poincare Conjecture Solved?

As of September 17, 2021, the Poincaré conjecture is the only solved Millennium problem. On December 22, 2006, the journal Science honored Perelman's proof of the Poincaré conjecture as the scientific "Breakthrough of the Year", the first time this honor was bestowed in the area of mathematics.

What is Poincaré conjecture answer?

Poincaré conjecture, in topology, conjecture—now proven to be a true theorem—that every simply connected, closed, three-dimensional manifold is topologically equivalent to S³, which is a generalization of the ordinary sphere to a higher dimension (in particular, the set of points in four-dimensional space that are ...

How long did it take Perelman to solve the Poincaré conjecture?

And from 1995 to November 2002, he worked alone on the Poincaré's Conjecture, cutting off nearly all contact with the mathematics community. In these seven years, Perelman was able to overcome the difficulties that crushed Hamilton's hopes of finding the proof.