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Homology sphere and N-sphere

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

Difference between Homology sphere and N-sphere

Homology sphere vs. N-sphere

In algebraic topology, a homology sphere is an n-manifold X having the homology groups of an n-sphere, for some integer n ≥ 1. In mathematics, the n-sphere is the generalization of the ordinary sphere to spaces of arbitrary dimension.

Similarities between Homology sphere and N-sphere

Homology sphere and N-sphere have 8 things in common (in Unionpedia): Connected space, Embedding, Homeomorphism, Manifold, Simply connected space, Sphere, Suspension (topology), 3-sphere.

Connected space

In topology and related branches of mathematics, a connected space is a topological space that cannot be represented as the union of two or more disjoint nonempty open subsets.

Connected space and Homology sphere · Connected space and N-sphere · 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.

Embedding and Homology sphere · Embedding and N-sphere · See more »

Homeomorphism

In the mathematical field of topology, a homeomorphism or topological isomorphism or bi continuous function is a continuous function between topological spaces that has a continuous inverse function.

Homeomorphism and Homology sphere · Homeomorphism and N-sphere · See more »

Manifold

In mathematics, a manifold is a topological space that locally resembles Euclidean space near each point.

Homology sphere and Manifold · Manifold and N-sphere · See more »

Simply connected space

In topology, a topological space is called simply connected (or 1-connected, or 1-simply connected) if it is path-connected and every path between two points can be continuously transformed (intuitively for embedded spaces, staying within the space) into any other such path while preserving the two endpoints in question.

Homology sphere and Simply connected space · N-sphere and Simply connected space · 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").

Homology sphere and Sphere · N-sphere and Sphere · See more »

Suspension (topology)

In topology, the suspension SX of a topological space X is the quotient space: of the product of X with the unit interval I.

Homology sphere and Suspension (topology) · N-sphere and Suspension (topology) · See more »

3-sphere

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

3-sphere and Homology sphere · 3-sphere and N-sphere · See more »

The list above answers the following questions

Homology sphere and N-sphere Comparison

Homology sphere has 64 relations, while N-sphere has 68. As they have in common 8, the Jaccard index is 6.06% = 8 / (64 + 68).

References

This article shows the relationship between Homology sphere and N-sphere. To access each article from which the information was extracted, please visit:

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