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3-manifold and Sphere theorem (3-manifolds)

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

Difference between 3-manifold and Sphere theorem (3-manifolds)

3-manifold vs. Sphere theorem (3-manifolds)

In mathematics, a 3-manifold is a space that locally looks like Euclidean 3-dimensional space. In mathematics, in the topology of 3-manifolds, the sphere theorem of gives conditions for elements of the second homotopy group of a 3-manifold to be represented by embedded spheres.

Similarities between 3-manifold and Sphere theorem (3-manifolds)

3-manifold and Sphere theorem (3-manifolds) have 7 things in common (in Unionpedia): Annals of Mathematics, Covering space, Embedding, Orientability, Sphere, Topology, 2-sided.

Annals of Mathematics

The Annals of Mathematics is a bimonthly mathematical journal published by Princeton University and the Institute for Advanced Study.

3-manifold and Annals of Mathematics · Annals of Mathematics and Sphere theorem (3-manifolds) · See more »

Covering space

In mathematics, more specifically algebraic topology, a covering map (also covering projection) is a continuous function p from a topological space, C, to a topological space, X, such that each point in X has an open neighbourhood evenly covered by p (as shown in the image); the precise definition is given below.

3-manifold and Covering space · Covering space and Sphere theorem (3-manifolds) · See more »

Embedding

In mathematics, an embedding (or imbedding) is one instance of some mathematical structure contained within another instance, such as a group that is a subgroup.

3-manifold and Embedding · Embedding and Sphere theorem (3-manifolds) · See more »

Orientability

In mathematics, orientability is a property of surfaces in Euclidean space that measures whether it is possible to make a consistent choice of surface normal vector at every point.

3-manifold and Orientability · Orientability and Sphere theorem (3-manifolds) · See more »

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").

3-manifold and Sphere · Sphere and Sphere theorem (3-manifolds) · See more »

Topology

In mathematics, topology (from the Greek τόπος, place, and λόγος, study) is concerned with the properties of space that are preserved under continuous deformations, such as stretching, crumpling and bending, but not tearing or gluing.

3-manifold and Topology · Sphere theorem (3-manifolds) and Topology · See more »

2-sided

In topology, a compact codimension one submanifold F of a manifold M is said to be 2-sided in M when there is an embedding with h(x,0).

2-sided and 3-manifold · 2-sided and Sphere theorem (3-manifolds) · See more »

The list above answers the following questions

3-manifold and Sphere theorem (3-manifolds) Comparison

3-manifold has 185 relations, while Sphere theorem (3-manifolds) has 17. As they have in common 7, the Jaccard index is 3.47% = 7 / (185 + 17).

References

This article shows the relationship between 3-manifold and Sphere theorem (3-manifolds). To access each article from which the information was extracted, please visit:

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