Noncombinatorial triangulations and the Poincaré conjecture
Noncombinatorial triangulations and the Poincaré conjecture
Kirby and Siebenmann have recently proved that every boundaryless topological n-manifold (n ?5) having trivial 4-dimensional Z2cohomology can be given a combinatorial triangulation; they have also given an example of a topological manifold which supports no combinatorial triangulation. It is quite possible, however, that the manifold constructed might be triangulable …