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3-manifold and Ball (mathematics)

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

Difference between 3-manifold and Ball (mathematics)

3-manifold vs. Ball (mathematics)

In mathematics, a 3-manifold is a space that locally looks like Euclidean 3-dimensional space. In mathematics, a ball is the space bounded by a sphere.

Similarities between 3-manifold and Ball (mathematics)

3-manifold and Ball (mathematics) have 11 things in common (in Unionpedia): Diffeomorphism, Differentiable manifold, Euclidean geometry, Euclidean space, Homeomorphism, Manifold, Mathematics, Neighbourhood (mathematics), Sphere, Topological space, 3-sphere.

Diffeomorphism

In mathematics, a diffeomorphism is an isomorphism of smooth manifolds.

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Differentiable manifold

In mathematics, a differentiable manifold (also differential manifold) is a type of manifold that is locally similar enough to a linear space to allow one to do calculus.

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Euclidean geometry

Euclidean geometry is a mathematical system attributed to Alexandrian Greek mathematician Euclid, which he described in his textbook on geometry: the Elements.

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Euclidean space

In geometry, Euclidean space encompasses the two-dimensional Euclidean plane, the three-dimensional space of Euclidean geometry, and certain other spaces.

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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.

3-manifold and Homeomorphism · Ball (mathematics) and Homeomorphism · See more »

Manifold

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

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Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

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Neighbourhood (mathematics)

In topology and related areas of mathematics, a neighbourhood (or neighborhood) is one of the basic concepts in a topological space.

3-manifold and Neighbourhood (mathematics) · Ball (mathematics) and Neighbourhood (mathematics) · 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").

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Topological space

In topology and related branches of mathematics, a topological space may be defined as a set of points, along with a set of neighbourhoods for each point, satisfying a set of axioms relating points and neighbourhoods.

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3-sphere

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

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The list above answers the following questions

3-manifold and Ball (mathematics) Comparison

3-manifold has 185 relations, while Ball (mathematics) has 59. As they have in common 11, the Jaccard index is 4.51% = 11 / (185 + 59).

References

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

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