23 relations: Alexander polynomial, Alternating knot, Ambient isotopy, Chirality (mathematics), Crossing number (knot theory), Figure-eight knot (mathematics), Homeomorphism, HOMFLY polynomial, Invertible knot, Jones polynomial, Knot (mathematics), Knot invariant, Knot theory, Mathematics, Max Dehn, Morwen Thistlethwaite, On-Line Encyclopedia of Integer Sequences, Orientability, Peter Tait (physicist), Prime knot, Torus knot, Trefoil knot, 3-sphere.
In mathematics, the Alexander polynomial is a knot invariant which assigns a polynomial with integer coefficients to each knot type.
New!!: Chiral knot and Alexander polynomial · See more »
In knot theory, a knot or link diagram is alternating if the crossings alternate under, over, under, over, as one travels along each component of the link.
New!!: Chiral knot and Alternating knot · See more »
In the mathematical subject of topology, an ambient isotopy, also called an h-isotopy, is a kind of continuous distortion of an ambient space, for example a manifold, taking a submanifold to another submanifold.
New!!: Chiral knot and Ambient isotopy · See more »
In geometry, a figure is chiral (and said to have chirality) if it is not identical to its mirror image, or, more precisely, if it cannot be mapped to its mirror image by rotations and translations alone.
New!!: Chiral knot and Chirality (mathematics) · See more »
Crossing number (knot theory)
In the mathematical area of knot theory, the crossing number of a knot is the smallest number of crossings of any diagram of the knot.
New!!: Chiral knot and Crossing number (knot theory) · See more »
Figure-eight knot (mathematics)
In knot theory, a figure-eight knot (also called Listing's knot or a Cavendish knot) is the unique knot with a crossing number of four.
New!!: Chiral knot and Figure-eight knot (mathematics) · See more »
In the mathematical field of topology, a homeomorphism or topological isomorphism or bi continuous function is a continuous function between topological spaces that has a continuous inverse function.
New!!: Chiral knot and Homeomorphism · See more »
In the mathematical field of knot theory, the HOMFLY polynomial, sometimes called the HOMFLY-PT polynomial or the generalized Jones polynomial, is a 2-variable knot polynomial, i.e. a knot invariant in the form of a polynomial of variables m and l. A central question in the mathematical theory of knots is whether two knot diagrams represent the same knot.
New!!: Chiral knot and HOMFLY polynomial · See more »
In mathematics, especially in the area of topology known as knot theory, an invertible knot is a knot that can be continuously deformed to itself, but with its orientation reversed.
New!!: Chiral knot and Invertible knot · See more »
In the mathematical field of knot theory, the Jones polynomial is a knot polynomial discovered by Vaughan Jones in 1984.
New!!: Chiral knot and Jones polynomial · See more »
In mathematics, a knot is an embedding of a circle S^1 in 3-dimensional Euclidean space, R3 (also known as E3), considered up to continuous deformations (isotopies).
New!!: Chiral knot and Knot (mathematics) · See more »
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.
New!!: Chiral knot and Knot invariant · See more »
In topology, knot theory is the study of mathematical knots.
New!!: Chiral knot and Knot theory · See more »
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.
New!!: Chiral knot and Mathematics · See more »
Max Wilhelm Dehn (November 13, 1878 – June 27, 1952) was a German-born American mathematician and student of David Hilbert.
New!!: Chiral knot and Max Dehn · See more »
Morwen B. Thistlethwaite is a knot theorist and professor of mathematics for the University of Tennessee in Knoxville.
New!!: Chiral knot and Morwen Thistlethwaite · See more »
On-Line Encyclopedia of Integer Sequences
The On-Line Encyclopedia of Integer Sequences (OEIS), also cited simply as Sloane's, is an online database of integer sequences.
New!!: Chiral knot and On-Line Encyclopedia of Integer Sequences · See more »
In mathematics, orientability is a property of surfaces in Euclidean space that measures whether it is possible to make a consistent choice of surface normal vector at every point.
New!!: Chiral knot and Orientability · See more »
Peter Tait (physicist)
Peter Guthrie Tait FRSE (28 April 1831 – 4 July 1901) was a Scottish mathematical physicist and early pioneer in thermodynamics.
New!!: Chiral knot and Peter Tait (physicist) · See more »
In knot theory, a prime knot or prime link is a knot that is, in a certain sense, indecomposable.
New!!: Chiral knot and Prime knot · See more »
In knot theory, a torus knot is a special kind of knot that lies on the surface of an unknotted torus in R3.
New!!: Chiral knot and Torus knot · See more »
In topology, a branch of mathematics, the trefoil knot is the simplest example of a nontrivial knot.
New!!: Chiral knot and Trefoil knot · See more »
In mathematics, a 3-sphere, or glome, is a higher-dimensional analogue of a sphere.
New!!: Chiral knot and 3-sphere · See more »
Achiral knot, Amphicheiral knot, Amphichiral knot, Amphichiral link, Chiral link, Chirality (knot theory), Fully amphichiral knot, Fully amphichiral link, Knot chirality, Knot symmetry, Negative amphichiral knot, Positive amphichiral knot, Reversible knot, Reversible link.