KNOTTHEORY

Knot theory

In topology, knot theory is the study of mathematical knots. While inspired by knots which appear in daily life in shoelaces and rope, a mathematician's knot differs in that the ends are joined together so that it cannot be undone. In mathematical language, a knot is an embedding of a circle in 3-dimensional Euclidean space, R3 . Two mathematical knots are equivalent if one can be transformed into the other via a deformation of R3 upon itself ; these transformations correspond to manipulations of a knotted string that do not involve cutting the string or passing the string through itself.

The above text is a snippet from Wikipedia: Knot theory
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knot theory

Noun

  1. A branch of topology dealing with knots.


The above text is a snippet from Wiktionary: knot theory
and as such is available under the Creative Commons Attribution/Share-Alike License.

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