Zeeman conjecture

{{Short description|Unproven mathematical hypothesis}}

In mathematics, the Zeeman conjecture or Zeeman's collapsibility conjecture asks whether given a finite contractible 2-dimensional CW complex $K$, the space $K\backslash times\; [0,1]$ is collapsible. It can nowadays be restated as the claim that for any 2-complex G which is homotopic to a point, there is an interval I such that some barycentric subdivision of G × I is contractible.{{citation|title=Subdivisions, shellability, and the Zeeman conjecture|author=Adiprasito|author2=Benedetti|year=2012|arxiv=1202.6606v2 }} Corollary 3.5

The conjecture, due to Christopher Zeeman, implies the Poincaré conjecture and the Andrews–Curtis conjecture.