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Simplicial triangulation of noncombinatorial manifolds of dimension less than $9$

1976
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Transactions of the American Mathematical Society
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Necessary and sufficient conditions are given for the simplicial triangulation of all noncombinatorial manifolds in the dimension range 5 < n < 7, for which the integral Bockstein of the combinatorial triangulation obstruction is trivial. A weaker theorem is proven in case n = 8. The appendix contains a proof that a map between PL manifolds which is a TOP fiber bundle can be made a PL fiber bundle. 0. Two of the oldest and most difficult problems arising in manifold theory are the following:

doi:10.1090/s0002-9947-1976-0415629-5
fatcat:qdlvf4wlkjbilazj6atqgrtfna