Gordian Knot

Jon Awbrey jawbrey at att.net
Wed Dec 6 23:22:52 CET 2006


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i do knot no, but i think it's obvious that many seqfanaddicts
are definitely at loose ends on e-count of the oeis being idle.

ja

Jonathan Post wrote:
> 
> Is there such a thing as an Uncomputable Knot?  An object for which determining if it a knot or
> link or unknot requires an uncomputable function? Perhaps as a limit of a sequence of knots with
> integer invariants (which could be an OEIS sequence)? Perhaps from a Hilbert's 10th Problem issue
> on a knot polynomial, or from the word problem in Groups, or the Homeomorphy problem?
> 
> Only an Oracle can tell if the Gordian Knot is uncomputable, or untie an Uncomputable Knot?

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