knot theory
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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,
Connections
William Thomson, 1st Baron Kelvin
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knot
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continuous function
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injection
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orientability
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immersion
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linking number
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unknot
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braid group
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torus knot
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Alexander polynomial
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Louis Kauffman
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prime knot
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knot polynomial
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hyperbolic link
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list of prime knots
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physics
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chemistry
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Carl Friedrich Gauss
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deoxyribonucleic acid
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