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Simply connected space and Symplectic group

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

Difference between Simply connected space and Symplectic group

Simply connected space vs. Symplectic group

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. In mathematics, the name symplectic group can refer to two different, but closely related, collections of mathematical groups, denoted and, the latter is called the compact symplectic group.

Similarities between Simply connected space and Symplectic group

Simply connected space and Symplectic group have 7 things in common (in Unionpedia): Complex number, Connected space, Fundamental group, Hilbert space, Manifold, Orthogonal group, Special unitary group.

Complex number

A complex number is a number that can be expressed in the form, where and are real numbers, and is a solution of the equation.

Complex number and Simply connected space · Complex number and Symplectic group · See more »

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 Simply connected space · Connected space and Symplectic group · See more »

Fundamental group

In the mathematical field of algebraic topology, the fundamental group is a mathematical group associated to any given pointed topological space that provides a way to determine when two paths, starting and ending at a fixed base point, can be continuously deformed into each other.

Fundamental group and Simply connected space · Fundamental group and Symplectic group · See more »

Hilbert space

The mathematical concept of a Hilbert space, named after David Hilbert, generalizes the notion of Euclidean space.

Hilbert space and Simply connected space · Hilbert space and Symplectic group · See more »

Manifold

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

Manifold and Simply connected space · Manifold and Symplectic group · See more »

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 Simply connected space · Orthogonal group and Symplectic group · See more »

Special unitary group

In mathematics, the special unitary group of degree, denoted, is the Lie group of unitary matrices with determinant 1.

Simply connected space and Special unitary group · Special unitary group and Symplectic group · See more »

The list above answers the following questions

Simply connected space and Symplectic group Comparison

Simply connected space has 44 relations, while Symplectic group has 81. As they have in common 7, the Jaccard index is 5.60% = 7 / (44 + 81).

References

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

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