knot theory
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In the Vinony graph
Within Vinony's link graph, knot theory is referenced by 559 other articles, and connects out to William Thomson, 1st Baron Kelvin, knot and continuous function.
It sits within the topics Knot theory and Low-dimensional topology.
Its subject is documented across 39 Wikipedia language editions.
Wikidata facts
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- Gwegwefewc.tif
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- Commons category
- Knot theory
- Stack Exchange tag
- math.stackexchange.com/tags/knot-theory
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Encyclopedic overview
Examples of different knots including the unknot (top left) and the trefoil knot (below it) A knot diagram of the trefoil knot, the simplest non-trivial knot
In topology, knot theory is the study of mathematical knots. While inspired by knots which appear in daily life, such as those in shoelaces and rope, a mathematical knot differs in that the ends are joined so it cannot be undone, the simplest knot being a ring (or "unknot"). In mathematical language, a knot is an embedding of a circle in 3-dimensional Euclidean space,
Excerpted from Wikipedia’s “knot theory” article, available under the CC BY-SA 4.0 licence.