Knot
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A closed, nonself-intersecting curve that is embedded in three dimensions and that cannot be untangled to produce a simple loop.
Knot is a graduate-level concept that would be first encountered in a topology course.
Prerequisites
| Topology: | (1) As a branch of mathematics, topology is the mathematical study of object's properties that are preserved through deformations, twistings, and stretchings. (2) As a set, a topology is a set along with a collection of subsets that satisfy several defining properties. |