Zeeman conjecture
In mathematics, the Zeeman conjecture or Zeeman's collapsibility conjecture asks whether given a finite contractible 2-dimensional CW complex, the space is collapsible. It can nowadays be restated as the claim that for any 2-complex which is homotopy equivalent to a point, some barycentric subdivision of is collapsible.
The conjecture, due to Christopher Zeeman, implies the Poincaré conjecture and the Andrews–Curtis conjecture.