vector space
the basic algebraic structure of linear algebra; a module over a field, such that its elements can be added together or scaled by elements of the field
tangent space
vector space associated to a point in a smooth manifold, consisting of vectors tangent to it (in some embedding into Euclidean space)
field
commutative ring in which every nonzero element is inversible
chemical space
property space of all possible molecules/compounds within given boundary conditions
pseudo-Euclidean space
finite-dimensional real vector space equipped with a nondegenerate quadratic form
super vector space
ℤ/2-graded vector space
triple system (algebra)
vector space
quadratic space
vector space equipped with a quadratic form
Lp space
function spaces generalizing finite-dimensional p norm spaces
coordinate space
space with a coordinate system
liquid vector space
concept in condensed mathematics
finite dimension vector space
vector space whose dimension is a finite number
matrix space
vector space whose elements are matrices
sequence space
a vector space whose elements are infinite sequences of real or complex numbers
field extension
pair of a mathematical field and its subfield
linear subspace
subset of a vector space that forms a vector space itself
quotient space
vector space consisting of affine subsets
topological vector space
vector space equipped with a compatible topology
column space
span of the column vectors of a matrix
Krein space
generalization of Hilbert space with indefinite signature
graded vector space
algebraic structure that is easily decomposable into subspaces
row space
span of the row vectors of a matrix
dual space
vector space of linear functionals (may consist only on continuous functionals or of all functionals)
algebra over a field
vector space equipped with a bilinear product
cotangent space
dual space to the tangent space in differential geometry
complex vector space
vector space over complex numbers
observability
measure of how well internal states of a system can be inferred from knowledge of its external outputs. The observability and controllability of a system are mathematical duals
ordered vector space
vector space with a partial order