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Results tagged with knot-theory
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user 7089
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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Solving the unknotting problem by pulling both ends of the string
It is an open question as to whether there is a polynomial time algorithm for recognizing the unknot.
Consider the following procedure for doing so on an actual physical string: Suppose there is a phy …
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