Complement (mathematics) — Complement has a variety of uses in mathematics:* complement, an operation that transforms an integer into its additive inverse, useful for subtracting numbers when only addition is possible, or is easier * complement, a system for working with… … Wikipedia
Knot theory — A three dimensional depiction of a thickened trefoil knot, the simplest non trivial knot … Wikipedia
Knot (mathematics) — A table of all prime knots with seven crossings or fewer (not including mirror images). In mathematics, a knot is an embedding of a circle in 3 dimensional Euclidean space, R3, considered up to continuous deformations (isotopies). A crucial… … 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 group — In mathematics, a knot is an embedding of a circle into 3 dimensional Euclidean space. The knot group of a knot K is defined as the fundamental group of the knot complement of K in R3,:pi 1(mathbb{R}^3 ackslash K).Two equivalent knots have… … Wikipedia
Complement — In many different fields, the complement of X is something that together with X makes a complete whole something that supplies what X lacks. Complement may refer to: Complement (linguistics), a word or phrase having a particular syntactic role… … Wikipedia
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
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
Signature of a knot — The signature of a knot is a topological invariant in knot theory. It may be computed from the Seifert surface.Given a knot K in the 3 sphere, it has a Seifert surface S whose boundary is K . The Seifert form of S is the pairing phi : H 1(S) imes … Wikipedia
Torus knot — In knot theory, a torus knot is a special kind of knot which lies on the surface of an unknotted torus in R3. Similarly, a torus link is a link which lies on the surface of a torus in the same way. Each torus knot is specified by a pair of… … Wikipedia
