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Results tagged with 3-manifolds
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user 1643
A three-manifold is a space that locally looks like Euclidean three-dimensional space
12
votes
Can all n-manifolds be obtained by gluing finitely many blocks?
I posted a paper on the arXiv, Group Width which answers this question for manifolds of dim $>3$ with sufficiently complicated fundamental group (there will be no finite set of blocks). As Greg Kuperb …
- 1,387
23
votes
Accepted
Can all n-manifolds be obtained by gluing finitely many blocks?
Thanks to Ian Agol for pointing out this question and a related one on levels of Morse functions - /30567/. In both case, for smooth manifold of dim $> 3$, as expected, there is no finite list of bloc …
- 1,387
14
votes
Level sets of Morse functions
I posted a short paper to the arXiv, Group width,
which answers this question at least for nonsimply connected manifolds. I think the same question for simply connected manifolds still deserves an an …
- 1,387