Classifications of simplicial triangulations of topological manifolds

@inproceedings{Galewski1976ClassificationsOS,
  title={Classifications of simplicial triangulations of topological manifolds},
  author={David E. Galewski and Ronald J. Stern},
  year={1976}
}
In this note we announce theorems which classify simplicial (not necessarily combinatorial) triangulations of a given topological «-manifold M, n > 7 (> 6 if dM = 0 ) , in terms of homotopy classes of lifts of the classifying map r: M —• BTOP for the stable topological tangent bundle of M to a classifying space BTRIn which we introduce below. The (homotopic) fiber of the natural map ƒ: BTRIn —• BTOP is described in terms of certain groups of PL homology 3spheres. We also give necessary and… CONTINUE READING

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