knot diagram
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Knot theory — A three dimensional depiction of a thickened trefoil knot, the simplest non trivial knot … Wikipedia
Knot invariant — In the mathematical field of knot theory, a knot invariant is a quantity (in a broad sense) defined for each knot which is the same for equivalent knots. The equivalence is often given by ambient isotopy but can be given by homeomorphism. Some… … Wikipedia
knot — Node Node (n[=o]d), n. [L. nodus; perh. akin to E. knot. Cf. {Noose}, {Nowed}.] 1. A knot, a knob; a protuberance; a swelling. [1913 Webster] 2. Specifically: (a) (Astron.) One of the two points where the orbit of a planet, or comet, intersects… … The Collaborative International Dictionary of English
Mathematical diagram — This article is about general diagrams in mathematics. For diagrams in the category theoretical sense, see Diagram (category theory). Euclid s Elements, ms. from Lüneburg, A.D. 1200 Mathematical diagrams are diagrams in the field of mathematics,… … Wikipedia
Alternating knot — In knot theory, a link diagram is alternating if the crossings alternate under, over, under, over, as you travel along each component of the link. A link is alternating if it has an alternating diagram.Many of the knots with crossing number less… … Wikipedia
Virtual knot — In knot theory, a virtual knot is a generalization of the classical idea of knots in several ways which are all equivalent.*In the theory of classical knots, knots can be considered equivalence classes of knot diagrams under the Reidemeister… … Wikipedia
Mutation (knot theory) — The Kinoshita–Terasaka knot and the Conway knot respectively, and how they are related by mutation. In the mathematical field of knot theory, a mutation is an operation on a knot that can produce different knots. Suppose K is a knot given in the… … Wikipedia
Arf invariant (knot) — In the mathematical field of knot theory, the Arf invariant of a knot, named after Cahit Arf, is a knot invariant obtained from a quadratic form associated to a Seifert surface. If F is a Seifert surface of a knot, then the homology group H1( F … Wikipedia
alternating knot — noun A knot that has a knot diagram in which, in traveling along the knot, one passes through intersections alternatingly: over, under, over, under, etc … Wiktionary
List of knot theory topics — 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 precise mathematical… … Wikipedia
