Zeeman conjecture

Template:Short description In mathematics, the Zeeman conjecture or Zeeman's collapsibility conjecture asks whether given a finite contractible 2-dimensional CW complex $K$, the space $K\times [0,1]$ 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.

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

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