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Riemann sphere and Simply connected space

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

Difference between Riemann sphere and Simply connected space

Riemann sphere vs. Simply connected space

In mathematics, the Riemann sphere, named after Bernhard Riemann, is a model of the extended complex plane (also called the closed complex plane): the complex plane plus one point at infinity. 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 into any other such path while preserving the two endpoints in question.

Similarities between Riemann sphere and Simply connected space

Riemann sphere and Simply connected space have 6 things in common (in Unionpedia): Complex analysis, Complex number, Holomorphic function, Manifold, Orthogonal group, Topology.

Complex analysis

Complex analysis, traditionally known as the theory of functions of a complex variable, is the branch of mathematical analysis that investigates functions of complex numbers.

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Complex number

In mathematics, a complex number is an element of a number system that extends the real numbers with a specific element denoted, called the imaginary unit and satisfying the equation i^.

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Holomorphic function

In mathematics, a holomorphic function is a complex-valued function of one or more complex variables that is complex differentiable in a neighbourhood of each point in a domain in complex coordinate space.

Holomorphic function and Riemann sphere · Holomorphic function and Simply connected space · See more »

Manifold

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

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Orthogonal group

In mathematics, the orthogonal group in dimension, denoted, is the group of distance-preserving transformations of a Euclidean space of dimension that preserve a fixed point, where the group operation is given by composing transformations.

Orthogonal group and Riemann sphere · Orthogonal group and Simply connected space · See more »

Topology

Topology (from the Greek words, and) is the branch of mathematics concerned with the properties of a geometric object that are preserved under continuous deformations, such as stretching, twisting, crumpling, and bending; that is, without closing holes, opening holes, tearing, gluing, or passing through itself.

Riemann sphere and Topology · Simply connected space and Topology · See more »

The list above answers the following questions

Riemann sphere and Simply connected space Comparison

Riemann sphere has 101 relations, while Simply connected space has 44. As they have in common 6, the Jaccard index is 4.14% = 6 / (101 + 44).

References

This article shows the relationship between Riemann sphere and Simply connected space. To access each article from which the information was extracted, please visit: