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Results tagged with knot-theory
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user 170240
Knot theory is dealing with embedding of curves in manifolds of dimension 3. A knot is a single circle embedded in the affine space of dimension 3 as a smooth curve not crossing itself. Many knot invariants are known and can be used to distinguish knots.
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Bing sling isotopy to unknot
Rolfsen asked the question as to whether any knot is topologically isotopic to the unknot. Where a topological isotopy is a continuous path in $\operatorname{Emb}(S^1,\mathbb{R}^3)$.
From now on I wil …
- 343
0
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Bing sling isotopy to unknot
Okay so I think i may (hopefully) have an idea as to what is going wrong here. Let me attempt to give an outline:
First let us consider the example i wrote in the comments to Shijie Gu's answer.
Let $ …
- 343