Faster access than browser!Similarities between 3-manifold and Vector space
3-manifold and Vector space have 29 things in common (in Unionpedia): Abelian group, Complex number, Continuous function, Curvature, Differentiable manifold, Differential form, Dimension, Euclidean space, Grassmannian, Group action, Group theory, Homeomorphism, Isomorphism, Lattice (group), Manifold, Mathematics, Neighbourhood (mathematics), Number theory, Orientability, Partial differential equation, Plane (geometry), Riemannian manifold, Space (mathematics), Sphere, Tangent bundle, Three-dimensional space, Topological space, Topology, Up to.
Abelian group
In abstract algebra, an abelian group, also called a commutative group, is a group in which the result of applying the group operation to two group elements does not depend on the order in which they are written.
3-manifold and Abelian group · Abelian group and Vector space ·
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.
3-manifold and Complex number · Complex number and 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 Vector space ·
Curvature
In mathematics, curvature is any of a number of loosely related concepts in different areas of geometry.
3-manifold and Curvature · Curvature and Vector space ·
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.
3-manifold and Differentiable manifold · Differentiable manifold and Vector space ·
Differential form
In the mathematical fields of differential geometry and tensor calculus, differential forms are an approach to multivariable calculus that is independent of coordinates.
3-manifold and Differential form · Differential form and Vector space ·
Dimension
In physics and mathematics, the dimension of a mathematical space (or object) is informally defined as the minimum number of coordinates needed to specify any point within it.
3-manifold and Dimension · Dimension and Vector space ·
Euclidean space
In geometry, Euclidean space encompasses the two-dimensional Euclidean plane, the three-dimensional space of Euclidean geometry, and certain other spaces.
3-manifold and Euclidean space · Euclidean space and Vector space ·
Grassmannian
In mathematics, the Grassmannian is a space which parametrizes all -dimensional linear subspaces of the n-dimensional vector space.
3-manifold and Grassmannian · Grassmannian and Vector space ·
Group action
In mathematics, an action of a group is a formal way of interpreting the manner in which the elements of the group correspond to transformations of some space in a way that preserves the structure of that space.
3-manifold and Group action · Group action and Vector space ·
Group theory
In mathematics and abstract algebra, group theory studies the algebraic structures known as groups.
3-manifold and Group theory · Group theory and Vector space ·
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 Vector space ·
Isomorphism
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.
3-manifold and Isomorphism · Isomorphism and Vector space ·
Lattice (group)
In geometry and group theory, a lattice in \mathbbR^n is a subgroup of the additive group \mathbb^n which is isomorphic to the additive group \mathbbZ^n, and which spans the real vector space \mathbb^n.
3-manifold and Lattice (group) · Lattice (group) and Vector space ·
Manifold
In mathematics, a manifold is a topological space that locally resembles Euclidean space near each point.
3-manifold and Manifold · Manifold and Vector space ·
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 · Mathematics and Vector space ·
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) · Neighbourhood (mathematics) and Vector space ·
Number theory
Number theory, or in older usage arithmetic, is a branch of pure mathematics devoted primarily to the study of the integers.
3-manifold and Number theory · Number theory and Vector space ·
Orientability
In mathematics, orientability is a property of surfaces in Euclidean space that measures whether it is possible to make a consistent choice of surface normal vector at every point.
3-manifold and Orientability · Orientability and Vector space ·
Partial differential equation
In mathematics, a partial differential equation (PDE) is a differential equation that contains unknown multivariable functions and their partial derivatives.
3-manifold and Partial differential equation · Partial differential equation and Vector space ·
Plane (geometry)
In mathematics, a plane is a flat, two-dimensional surface that extends infinitely far.
3-manifold and Plane (geometry) · Plane (geometry) and Vector space ·
Riemannian manifold
In differential geometry, a (smooth) Riemannian manifold or (smooth) Riemannian space (M,g) is a real, smooth manifold M equipped with an inner product g_p on the tangent space T_pM at each point p that varies smoothly from point to point in the sense that if X and Y are differentiable vector fields on M, then p \mapsto g_p(X(p),Y(p)) is a smooth function.
3-manifold and Riemannian manifold · Riemannian manifold and Vector space ·
Space (mathematics)
In mathematics, a space is a set (sometimes called a universe) with some added structure.
3-manifold and Space (mathematics) · Space (mathematics) and Vector space ·
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").
3-manifold and Sphere · Sphere and Vector space ·
Tangent bundle
In differential geometry, the tangent bundle of a differentiable manifold M is a manifold TM which assembles all the tangent vectors in M. As a set, it is given by the disjoint unionThe disjoint union ensures that for any two points x1 and x2 of manifold M the tangent spaces T1 and T2 have no common vector.
3-manifold and Tangent bundle · Tangent bundle and Vector space ·
Three-dimensional space
Three-dimensional space (also: 3-space or, rarely, tri-dimensional space) is a geometric setting in which three values (called parameters) are required to determine the position of an element (i.e., point).
3-manifold and Three-dimensional space · Three-dimensional space and Vector space ·
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 · Topological space and Vector space ·
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 · Topology and Vector space ·
Up to
In mathematics, the phrase up to appears in discussions about the elements of a set (say S), and the conditions under which subsets of those elements may be considered equivalent.
The list above answers the following questions
- What 3-manifold and Vector space have in common
- What are the similarities between 3-manifold and Vector space
3-manifold and Vector space Comparison
3-manifold has 185 relations, while Vector space has 341. As they have in common 29, the Jaccard index is 5.51% = 29 / (185 + 341).
References
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