Timeline for If $X_d$ is a non-triangulable manifold, can $X_d \times T^k$, $X_d \times I^k$, or $X_d \times \mathbb{R}^k$ be a triangulable manifold?
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| Mar 18, 2021 at 0:17 | comment | added | skupers | As long as $d \geq 7$ the answer is negative as a consequence of Theorems 1 and 2 of Galewski-Stern, Classifications of simplicial triangulations of topological manifolds (Annals 111, 1980, p.1-34). I suggest you read that paper if you haven't already. For reference, the claim about 5-manifolds may be found in Galewski-Stern's A universal 5-manifold with respect to triangulations. | |
| Mar 17, 2021 at 22:56 | history | edited | Dmitri Pavlov |
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| Feb 28, 2021 at 19:30 | history | asked | wonderich | CC BY-SA 4.0 |