Faster access than browser!Similarities between Exterior algebra and Functor
Exterior algebra and Functor have 20 things in common (in Unionpedia): Algebra homomorphism, Algebraic topology, Associative algebra, Category (mathematics), Differentiable manifold, Direct sum of modules, Dual space, Field (mathematics), Linear map, Mathematics, Natural transformation, Open set, Representation theory, Sheaf (mathematics), Tangent space, Tensor product, Universal property, Vector bundle, Vector field, Vector space.
Algebra homomorphism
A homomorphism between two associative algebras, A and B, over a field (or commutative ring) K, is a function F\colon A\to B such that for all k in K and x, y in A,.
Algebra homomorphism and Exterior algebra · Algebra homomorphism and Functor ·
Algebraic topology
Algebraic topology is a branch of mathematics that uses tools from abstract algebra to study topological spaces.
Algebraic topology and Exterior algebra · Algebraic topology and Functor ·
Associative algebra
In mathematics, an associative algebra is an algebraic structure with compatible operations of addition, multiplication (assumed to be associative), and a scalar multiplication by elements in some field.
Associative algebra and Exterior algebra · Associative algebra and Functor ·
Category (mathematics)
In mathematics, a category (sometimes called an abstract category to distinguish it from a concrete category) is an algebraic structure similar to a group but without requiring inverse or closure properties.
Category (mathematics) and Exterior algebra · Category (mathematics) and Functor ·
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.
Differentiable manifold and Exterior algebra · Differentiable manifold and Functor ·
Direct sum of modules
In abstract algebra, the direct sum is a construction which combines several modules into a new, larger module.
Direct sum of modules and Exterior algebra · Direct sum of modules and Functor ·
Dual space
In mathematics, any vector space V has a corresponding dual vector space (or just dual space for short) consisting of all linear functionals on V, together with the vector space structure of pointwise addition and scalar multiplication by constants.
Dual space and Exterior algebra · Dual space and Functor ·
Field (mathematics)
In mathematics, a field is a set on which addition, subtraction, multiplication, and division are defined, and behave as when they are applied to rational and real numbers.
Exterior algebra and Field (mathematics) · Field (mathematics) and Functor ·
Linear map
In mathematics, a linear map (also called a linear mapping, linear transformation or, in some contexts, linear function) is a mapping between two modules (including vector spaces) that preserves (in the sense defined below) the operations of addition and scalar multiplication.
Exterior algebra and Linear map · Functor and Linear map ·
Mathematics
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.
Exterior algebra and Mathematics · Functor and Mathematics ·
Natural transformation
In category theory, a branch of mathematics, a natural transformation provides a way of transforming one functor into another while respecting the internal structure (i.e., the composition of morphisms) of the categories involved.
Exterior algebra and Natural transformation · Functor and Natural transformation ·
Open set
In topology, an open set is an abstract concept generalizing the idea of an open interval in the real line.
Exterior algebra and Open set · Functor and Open set ·
Representation theory
Representation theory is a branch of mathematics that studies abstract algebraic structures by representing their elements as linear transformations of vector spaces, and studies modules over these abstract algebraic structures.
Exterior algebra and Representation theory · Functor and Representation theory ·
Sheaf (mathematics)
In mathematics, a sheaf is a tool for systematically tracking locally defined data attached to the open sets of a topological space.
Exterior algebra and Sheaf (mathematics) · Functor and Sheaf (mathematics) ·
Tangent space
In mathematics, the tangent space of a manifold facilitates the generalization of vectors from affine spaces to general manifolds, since in the latter case one cannot simply subtract two points to obtain a vector that gives the displacement of the one point from the other.
Exterior algebra and Tangent space · Functor and Tangent space ·
Tensor product
In mathematics, the tensor product of two vector spaces and (over the same field) is itself a vector space, together with an operation of bilinear composition, denoted by, from ordered pairs in the Cartesian product into, in a way that generalizes the outer product.
Exterior algebra and Tensor product · Functor and Tensor product ·
Universal property
In various branches of mathematics, a useful construction is often viewed as the “most efficient solution” to a certain problem.
Exterior algebra and Universal property · Functor and Universal property ·
Vector bundle
In mathematics, a vector bundle is a topological construction that makes precise the idea of a family of vector spaces parameterized by another space X (for example X could be a topological space, a manifold, or an algebraic variety): to every point x of the space X we associate (or "attach") a vector space V(x) in such a way that these vector spaces fit together to form another space of the same kind as X (e.g. a topological space, manifold, or algebraic variety), which is then called a vector bundle over X.
Exterior algebra and Vector bundle · Functor and Vector bundle ·
Vector field
In vector calculus and physics, a vector field is an assignment of a vector to each point in a subset of space.
Exterior algebra and Vector field · Functor and Vector field ·
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.
Exterior algebra and Vector space · Functor and Vector space ·
The list above answers the following questions
- What Exterior algebra and Functor have in common
- What are the similarities between Exterior algebra and Functor
Exterior algebra and Functor Comparison
Exterior algebra has 161 relations, while Functor has 92. As they have in common 20, the Jaccard index is 7.91% = 20 / (161 + 92).
References
This article shows the relationship between Exterior algebra and Functor. To access each article from which the information was extracted, please visit:
