Subspace may refer to:
In mathematics
* A
space
Space is the boundless three-dimensional extent in which objects and events have relative position and direction. In classical physics, physical space is often conceived in three linear dimensions, although modern physicists usually consider ...
inheriting all characteristics of a parent space
* A subset of a topological space endowed with the
subspace topology
In topology and related areas of mathematics, a subspace of a topological space ''X'' is a subset ''S'' of ''X'' which is equipped with a topology induced from that of ''X'' called the subspace topology (or the relative topology, or the induced to ...
*
Linear subspace
In mathematics, and more specifically in linear algebra, a linear subspace, also known as a vector subspaceThe term ''linear subspace'' is sometimes used for referring to flats and affine subspaces. In the case of vector spaces over the reals, li ...
, in linear algebra, a subset of a vector space that is closed under addition and scalar multiplication
*
Flat (geometry)
In geometry, a flat or Euclidean subspace is a subset of a Euclidean space that is itself a Euclidean space (of lower dimension). The flats in two-dimensional space are points and lines, and the flats in three-dimensional space are points, lin ...
, a Euclidean subspace
*
Affine subspace
In mathematics, an affine space is a geometric structure that generalizes some of the properties of Euclidean spaces in such a way that these are independent of the concepts of distance and measure of angles, keeping only the properties related ...
, a geometric structure that generalizes the affine properties of a flat
*
Projective subspace, a geometric structure that generalizes a linear subspace of a vector space
*
Multilinear subspace in multilinear algebra, a subset of a tensor space that is closed under addition and scalar multiplication
In science fiction
* a concept similar to that of
hyperspace
In science fiction, hyperspace (also known as nulspace, subspace, overspace, jumpspace and similar terms) is a concept relating to dimension#Additional dimensions, higher dimensions as well as parallel universes in fiction, parallel universe ...
*
Subspace (''Star Trek''), a fictional feature of space-time that facilitates faster-than-light communication and transit
In games
*
''SubSpace'' (video game), a two-dimensional space shooter computer game
*
The Subspace Emissary, the Adventure mode in the video game ''Super Smash Bros. Brawl''
Other uses
*
"Subspace" (song), a 2001 single by Funker Vogt
*
Subspace, in BDSM, a psychological state that can be entered by the submissive participant
{{mathematical disambiguation