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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.

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

References edit

  • Matveev, Sergei (2007), "1.3.4 Zeeman's Collapsing Conjecture", Algorithmic Topology and Classification of 3-Manifolds, Algorithms and Computation in Mathematics, vol. 9, Springer, pp. 46–58, ISBN 9783540458999

zeeman, conjecture, mathematics, zeeman, collapsibility, conjecture, asks, whether, given, finite, contractible, dimensional, complex, displaystyle, space, displaystyle, times, collapsible, conjecture, christopher, zeeman, implies, poincaré, conjecture, andrew. In mathematics the Zeeman conjecture or Zeeman s collapsibility conjecture asks whether given a finite contractible 2 dimensional CW complex K displaystyle K the space K 0 1 displaystyle K times 0 1 is collapsible The conjecture due to Christopher Zeeman implies the Poincare conjecture and the Andrews Curtis conjecture References editMatveev Sergei 2007 1 3 4 Zeeman s Collapsing Conjecture Algorithmic Topology and Classification of 3 Manifolds Algorithms and Computation in Mathematics vol 9 Springer pp 46 58 ISBN 9783540458999 nbsp This topology related article is a stub You can help Wikipedia by expanding it vte Retrieved from https en wikipedia org w index php title Zeeman conjecture amp oldid 1125529881, wikipedia, wiki, book, books, library,

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