The mathematical study of Knots. Knot theory considers questions such as the following:
Although there has been almost explosive growth in the number of important results proved since the discovery of the
Jones Polynomial, there are still many ``knotty'' problems and conjectures whose answers remain unknown.
- 1. Given a tangled loop of string, is it really knotted or can it, with enough ingenuity and/or luck, be untangled
without having to cut it?
- 2. More generally, given two tangled loops of string, when are they deformable into each other?
- 3. Is there an effective algorithm (or any algorithm to speak of) to make these determinations?
See also Knot, Link
© 1996-9 Eric W. Weisstein