4 ms·
A Proof That Some Spaces Can’t Be Cut
- pdpi 12y agoSeems that, though the posted article is new, the research in question is actually a couple of years old -- http://arxiv.org/abs/1303.2354 http://arxiv.org/abs/1303.2354
- Sniffnoy 12y agoWorth noting here that (checking Wikipedia) "triangulation" here is being used in a weaker sense than the usual piecewise-linear triangulation. (Apparently, being homeomorphic to a simplicial complex doesn't mean admitting a PL structure! Not news to any topologists, I guess, but news to me.) If we restrict to that narrower notion of triangulation, it was already known how to build high-dimensional manifolds with no triangulation.
- deleted 12y ago[deleted]