Ribbon knot
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In the mathematical area of knot theory, a ribbon knot is a knot which bounds a self-intersecting disc with only ribbon singularities. This type of singularity is a self-intersection along an arc; the preimage of this arc consists of two arcs in the disc, one properly embedded in the disc and the other completely in the interior of the disc.
Every ribbon knot is known to be slice. A famous question of Ralph Fox asks if the converse is true: is every slice knot ribbon?
[edit] References
- Louis Kauffman, On Knots, (1987), ISBN 0-691-08435-1
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