Simplicial triangulation of noncombinatorial manifolds of dimension less than $9$
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- by Martin Scharlemann PDF
- Trans. Amer. Math. Soc. 219 (1976), 269-287 Request permission
Abstract:
Necessary and sufficient conditions are given for the simplicial triangulation of all noncombinatorial manifolds in the dimension range $5 \leqslant n \leqslant 7$, 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.References
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Additional Information
- © Copyright 1976 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 219 (1976), 269-287
- MSC: Primary 57D05; Secondary 57C15
- DOI: https://doi.org/10.1090/S0002-9947-1976-0415629-5
- MathSciNet review: 0415629