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Link (knot theory) and List of geometric topology topics

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Link (knot theory) and List of geometric topology topics

Link (knot theory) vs. List of geometric topology topics

In mathematical knot theory, a link is a collection of knots which do not intersect, but which may be linked (or knotted) together. This is a list of geometric topology topics, by Wikipedia page.

Similarities between Link (knot theory) and List of geometric topology topics

Link (knot theory) and List of geometric topology topics have 10 things in common (in Unionpedia): Borromean rings, Braid group, Braid theory, Hyperbolic link, Knot (mathematics), Knot theory, Linking number, Sphere, Unknot, 3-sphere.

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).

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Braid group

In mathematics, the braid group on strands (denoted), also known as the Artin braid group, is the group whose elements are equivalence classes of n-braids (e.g. under ambient isotopy), and whose group operation is composition of braids (see). Example applications of braid groups include knot theory, where any knot may be represented as the closure of certain braids (a result known as Alexander's theorem); in mathematical physics where Artin's canonical presentation of the braid group corresponds to the Yang–Baxter equation (see); and in monodromy invariants of algebraic geometry.

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Braid theory

In topology, a branch of mathematics, braid theory is an abstract geometric theory studying the everyday braid concept, and some generalizations.

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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.

Hyperbolic link and Link (knot theory) · Hyperbolic link and List of geometric topology topics · See more »

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 (mathematics) and Link (knot theory) · Knot (mathematics) and List of geometric topology topics · See more »

Knot theory

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

Knot theory and Link (knot theory) · Knot theory and List of geometric topology topics · See more »

Linking number

In mathematics, the linking number is a numerical invariant that describes the linking of two closed curves in three-dimensional space.

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Sphere

A sphere (from Greek σφαῖρα — sphaira, "globe, ball") is a perfectly round geometrical object in three-dimensional space that is the surface of a completely round ball (viz., analogous to the circular objects in two dimensions, where a "circle" circumscribes its "disk").

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Unknot

The unknot arises in the mathematical theory of knots.

Link (knot theory) and Unknot · List of geometric topology topics and Unknot · See more »

3-sphere

In mathematics, a 3-sphere, or glome, is a higher-dimensional analogue of a sphere.

3-sphere and Link (knot theory) · 3-sphere and List of geometric topology topics · See more »

The list above answers the following questions

Link (knot theory) and List of geometric topology topics Comparison

Link (knot theory) has 24 relations, while List of geometric topology topics has 97. As they have in common 10, the Jaccard index is 8.26% = 10 / (24 + 97).

References

This article shows the relationship between Link (knot theory) and List of geometric topology topics. To access each article from which the information was extracted, please visit:

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