Install
Faster access than browser!

# Knot theory and Satellite knot

## Difference between Knot theory and Satellite knot

### Knot theory vs. Satellite knot

In topology, knot theory is the study of mathematical knots. In the mathematical theory of knots, a satellite knot is a knot that contains an incompressible, non boundary-parallel torus in its complement.

## Similarities between Knot theory and Satellite knot

Knot theory and Satellite knot have 8 things in common (in Unionpedia): Borromean rings, Geometrization conjecture, Hyperbolic link, Knot (mathematics), Knot complement, Knot theory, Prime knot, Torus knot.

### Borromean rings

In mathematics, the Borromean rings consist of three topological circles which are linked and form a Brunnian link (i.e., removing any ring results in two unlinked rings).

### Geometrization conjecture

In mathematics, Thurston's geometrization conjecture states that certain three-dimensional topological spaces each have a unique geometric structure that can be associated with them.

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.

### Knot (mathematics)

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).

### Knot complement

In mathematics, the knot complement of a tame knot K is the three-dimensional space surrounding the knot.

### Knot theory

In topology, knot theory is the study of mathematical knots.

### Prime knot

In knot theory, a prime knot or prime link is a knot that is, in a certain sense, indecomposable.

### 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.

### The list above answers the following questions

• What Knot theory and Satellite knot have in common
• What are the similarities between Knot theory and Satellite knot

## Knot theory and Satellite knot Comparison

Knot theory has 107 relations, while Satellite knot has 14. As they have in common 8, the Jaccard index is 6.61% = 8 / (107 + 14).

## References

This article shows the relationship between Knot theory and Satellite knot. To access each article from which the information was extracted, please visit:

Hey! We are on Facebook now! »