Table of Contents
16 relations: Bing double, Borromean rings, Boundary parallel, Geometrization conjecture, Horst Schubert, Hyperbolic link, Incompressible surface, JSJ decomposition, Knot (mathematics), Knot complement, Knot theory, Prime knot, Torus, Torus knot, Whitehead link, 3-manifold.
- Satellite knots and links
Bing double
In knot theory, a field of mathematics, the Bing double of a knot is a link with two components which follow the pattern of the knot and "hook together". Satellite knot and Bing double are knot theory.
See Satellite knot and Bing double
Borromean rings
In mathematics, the Borromean rings are three simple closed curves in three-dimensional space that are topologically linked and cannot be separated from each other, but that break apart into two unknotted and unlinked loops when any one of the three is cut or removed. Satellite knot and Borromean rings are knot theory.
See Satellite knot and Borromean rings
Boundary parallel
In mathematics, a closed n-manifold N embedded in an (n + 1)-manifold M is boundary parallel (or ∂-parallel, or peripheral) if there is an isotopy of N onto a boundary component of M.
See Satellite knot and Boundary parallel
Geometrization conjecture
In mathematics, Thurston's geometrization conjecture (now a theorem) states that each of certain three-dimensional topological spaces has a unique geometric structure that can be associated with it.
See Satellite knot and Geometrization conjecture
Horst Schubert
Horst Schubert (11 June 1919 – 2001) was a German mathematician.
See Satellite knot and Horst Schubert
Hyperbolic link
In mathematics, a hyperbolic link is a link in the 3-sphere with complement that has a complete Riemannian metric of constant negative curvature, i.e. has a hyperbolic geometry. Satellite knot and hyperbolic link are knot theory.
See Satellite knot and Hyperbolic link
Incompressible surface
In mathematics, an incompressible surface is a surface properly embedded in a 3-manifold, which, in intuitive terms, is a "nontrivial" surface that cannot be simplified.
See Satellite knot and Incompressible surface
JSJ decomposition
In mathematics, the JSJ decomposition, also known as the toral decomposition, is a topological construct given by the following theorem: The acronym JSJ is for William Jaco, Peter Shalen, and Klaus Johannson.
See Satellite knot and JSJ decomposition
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 Satellite knot and Knot (mathematics)
Knot complement
In mathematics, the knot complement of a tame knot K is the space where the knot is not. Satellite knot and knot complement are knot theory.
See Satellite knot and Knot complement
Knot theory
In topology, knot theory is the study of mathematical knots.
See Satellite knot and Knot theory
Prime knot
In knot theory, a prime knot or prime link is a knot that is, in a certain sense, indecomposable.
See Satellite knot and Prime knot
Torus
In geometry, a torus (tori or toruses) is a surface of revolution generated by revolving a circle in three-dimensional space one full revolution about an axis that is coplanar with the circle.
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. Satellite knot and torus knot are knot theory.
See Satellite knot and Torus knot
Whitehead link
In knot theory, the Whitehead link, named for J. H. C. Whitehead, is one of the most basic links. Satellite knot and Whitehead link are knot theory.
See Satellite knot and Whitehead link
3-manifold
In mathematics, a 3-manifold is a topological space that locally looks like a three-dimensional Euclidean space.
See Satellite knot and 3-manifold
See also
Satellite knots and links
- Satellite knot
References
Also known as Cable knot, Satellite link (knot theory), Swallow-follow torus, Whitehead double.