Advanced | Help | Encyclopedia
Directory


Link (mathematics)

A link with 3 components each equivalent to the unknot.

In mathematics, a link is a collection of knots which may be linked (or knotted) together.

A Hopf link spanned by an annulus, created with povray

More formally, a link is a subspace of 3-dimensional Euclidean space (or often the 3-sphere) whose connected components are homeomorphic to circles. A knot can be described as a link with one component. Links and knots are studied in a branch of mathematics called knot theory.

The simplest nontrivial example of a link with more than one component is called the Hopf link, which consists of two circles (or unknots) linked together once. Borromean rings form a link with three components each equivalent to the unknot.

See also








Links: Addme | Keyword Research | Paid Inclusion | Femail | Software | Completive Intelligence

Add URL | About Slider | FREE Slider Toolbar - Simply Amazing
Copyright © 2000-2008 Slider.com. All rights reserved.
Content is distributed under the GNU Free Documentation License.