Zeeman conjecture
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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 [math]\displaystyle{ K }[/math], the space [math]\displaystyle{ K\times [0,1] }[/math] is collapsible.
The conjecture, due to Christopher Zeeman, implies the Poincaré conjecture and the Andrews–Curtis conjecture.
References
- Matveev, Sergei (2007), "1.3.4 Zeeman's Collapsing Conjecture", Algorithmic Topology and Classification of 3-Manifolds, Algorithms and Computation in Mathematics, 9, Springer, pp. 46–58, ISBN 9783540458999, https://books.google.com/books?id=vFLgAyeVSqAC&pg=PA46
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