>>14137174>what is the significance of the poincare conjecture?It was a simple question about 3 dimensional manifolds that eluded any attempts to be solved using any methods of algebraic topology. A complete analogous question in dimensions 4 and above and 2 were easy, while magically dimension 3 eluded all attempts to get solved. The difficulty of it, the relevance of it to cosmology(we live in a 3 manifold) and the time it was open made it significant. And Perelman just solved it and made a huge media stunt thanks to his autism.
Thats all there is to it.