Gordian Knot
Jonathan Post
jvospost3 at gmail.com
Wed Dec 6 23:02:36 CET 2006
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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