The Andrews–Curtis Conjecture

Abstract

The Poincaré conjecture is one of the most important problems in the history of Mathematics. The generalized versions of the conjecture for dimensions greater than 3 were proved between 1961 and 1982 by Smale, Stallings, Zeeman and Freedman. However, the original problem remained open for a century until Perelman finally proved it some years ago [66–68].