Table of Contents
26 relations: Alexander polynomial, Alternating knot, Ambient isotopy, Chirality (mathematics), Crossing number (knot theory), Figure-eight knot (mathematics), Homeomorphism, HOMFLY polynomial, Invertible knot, Jeffrey Weeks (mathematician), Johann Benedict Listing, Jones polynomial, Knot (mathematics), Knot invariant, Knot theory, Mary Gertrude Haseman, Mathematics, Max Dehn, Morwen Thistlethwaite, On-Line Encyclopedia of Integer Sequences, Orientability, Peter Guthrie Tait, Prime knot, Torus knot, Trefoil knot, 3-sphere.
- Chiral knots and links
- Knot chirality
Alexander polynomial
In mathematics, the Alexander polynomial is a knot invariant which assigns a polynomial with integer coefficients to each knot type.
See Chiral knot and Alexander polynomial
Alternating knot
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.
See Chiral knot and Alternating knot
Ambient isotopy
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.
See Chiral knot and Ambient isotopy
Chirality (mathematics)
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.
See Chiral knot and Chirality (mathematics)
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.
See Chiral knot and Crossing number (knot theory)
Figure-eight knot (mathematics)
In knot theory, a figure-eight knot (also called Listing's knot) is the unique knot with a crossing number of four.
See Chiral knot and Figure-eight knot (mathematics)
Homeomorphism
In mathematics and more specifically in topology, a homeomorphism (from Greek roots meaning "similar shape", named by Henri Poincaré), also called topological isomorphism, or bicontinuous function, is a bijective and continuous function between topological spaces that has a continuous inverse function.
See Chiral knot and Homeomorphism
HOMFLY polynomial
In the mathematical field of knot theory, the HOMFLY polynomial or HOMFLYPT polynomial, sometimes called 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.
See Chiral knot and HOMFLY polynomial
Invertible knot
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.
See Chiral knot and Invertible knot
Jeffrey Weeks (mathematician)
Jeffrey Renwick Weeks (born December 10, 1956) is an American mathematician, a geometric topologist and cosmologist.
See Chiral knot and Jeffrey Weeks (mathematician)
Johann Benedict Listing
Johann Benedict Listing (25 July 1808 – 24 December 1882) was a German mathematician.
See Chiral knot and Johann Benedict Listing
Jones polynomial
In the mathematical field of knot theory, the Jones polynomial is a knot polynomial discovered by Vaughan Jones in 1984.
See Chiral knot and Jones polynomial
Knot (mathematics)
In mathematics, a knot is an embedding of the circle into three-dimensional Euclidean space, (also known as). Often two knots are considered equivalent if they are ambient isotopic, that is, if there exists a continuous deformation of which takes one knot to the other.
See Chiral knot and Knot (mathematics)
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.
See Chiral knot and Knot invariant
Knot theory
In topology, knot theory is the study of mathematical knots.
See Chiral knot and Knot theory
Mary Gertrude Haseman
Mary Gertrude Haseman (March 6, 1889 – April 9, 1979) was an American mathematician known for her work in knot theory.
See Chiral knot and Mary Gertrude Haseman
Mathematics
Mathematics is a field of study that discovers and organizes abstract objects, methods, theories and theorems that are developed and proved for the needs of empirical sciences and mathematics itself.
See Chiral knot and Mathematics
Max Dehn
Max Wilhelm Dehn (November 13, 1878 – June 27, 1952) was a German mathematician most famous for his work in geometry, topology and geometric group theory.
Morwen Thistlethwaite
Morwen Bernard Thistlethwaite (born 5 June 1945) is a knot theorist and professor of mathematics for the University of Tennessee in Knoxville.
See Chiral knot and Morwen Thistlethwaite
On-Line Encyclopedia of Integer Sequences
The On-Line Encyclopedia of Integer Sequences (OEIS) is an online database of integer sequences.
See Chiral knot and On-Line Encyclopedia of Integer Sequences
Orientability
In mathematics, orientability is a property of some topological spaces such as real vector spaces, Euclidean spaces, surfaces, and more generally manifolds that allows a consistent definition of "clockwise" and "anticlockwise".
See Chiral knot and Orientability
Peter Guthrie Tait
Peter Guthrie Tait (28 April 18314 July 1901) was a Scottish mathematical physicist and early pioneer in thermodynamics.
See Chiral knot and Peter Guthrie Tait
Prime knot
In knot theory, a prime knot or prime link is a knot that is, in a certain sense, indecomposable.
See Chiral knot and Prime knot
Torus knot
In knot theory, a torus knot is a special kind of knot that lies on the surface of an unknotted torus in R3.
See Chiral knot and Torus knot
Trefoil knot
In knot theory, a branch of mathematics, the trefoil knot is the simplest example of a nontrivial knot.
See Chiral knot and Trefoil knot
3-sphere
In mathematics, a 3-sphere, glome or hypersphere is a higher-dimensional analogue of a sphere.
See also
Chiral knots and links
- Chiral knot
- Conway knot
Knot chirality
- Chiral knot
References
Also known as Achiral knot, Amphicheiral knot, Amphichiral knot, Amphichiral link, Chiral link, Chirality (knot theory), Fully amphichiral knot, Fully amphichiral link, Knot chirality, Knot symmetry, Mirror image (knot theory), Negative amphichiral knot, Positive amphichiral knot, Reversible knot, Reversible link.