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3-manifold and Isomorphism

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

Difference between 3-manifold and Isomorphism

3-manifold vs. Isomorphism

In mathematics, a 3-manifold is a space that locally looks like Euclidean 3-dimensional space. In mathematics, an isomorphism (from the Ancient Greek: ἴσος isos "equal", and μορφή morphe "form" or "shape") is a homomorphism or morphism (i.e. a mathematical mapping) that can be reversed by an inverse morphism.

Similarities between 3-manifold and Isomorphism

3-manifold and Isomorphism have 8 things in common (in Unionpedia): Continuous function, Diffeomorphism, Homeomorphism, Mathematics, Quotient space (topology), Topological space, Topology, Vector space.

Continuous function

In mathematics, a continuous function is a function for which sufficiently small changes in the input result in arbitrarily small changes in the output.

3-manifold and Continuous function · Continuous function and Isomorphism · See more »

Diffeomorphism

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

3-manifold and Diffeomorphism · Diffeomorphism and Isomorphism · 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.

3-manifold and Homeomorphism · Homeomorphism and Isomorphism · See more »

Mathematics

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

3-manifold and Mathematics · Isomorphism and Mathematics · See more »

Quotient space (topology)

In topology and related areas of mathematics, a quotient space (also called an identification space) is, intuitively speaking, the result of identifying or "gluing together" certain points of a given topological space.

3-manifold and Quotient space (topology) · Isomorphism and Quotient space (topology) · See more »

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.

3-manifold and Topological space · Isomorphism and Topological space · 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 · Isomorphism and Topology · See more »

Vector space

A vector space (also called a linear space) is a collection of objects called vectors, which may be added together and multiplied ("scaled") by numbers, called scalars.

3-manifold and Vector space · Isomorphism and Vector space · See more »

The list above answers the following questions

3-manifold and Isomorphism Comparison

3-manifold has 185 relations, while Isomorphism has 110. As they have in common 8, the Jaccard index is 2.71% = 8 / (185 + 110).

References

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

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