Subspace
Encyclopedia
In mathematics
- Euclidean subspaceEuclidean subspaceIn linear algebra, a Euclidean subspace is a set of vectors that is closed under addition and scalar multiplication. Geometrically, a subspace is a flat in n-dimensional Euclidean space that passes through the origin...
, in linear algebra, a set of vectors in n-dimensional Euclidean space that is closed under addition and scalar multiplication - Linear subspaceLinear subspaceThe concept of a linear subspace is important in linear algebra and related fields of mathematics.A linear subspace is usually called simply a subspace when the context serves to distinguish it from other kinds of subspaces....
, in linear algebra, a subset of a vector space that is closed under addition and scalar multiplication - Affine subspace, linear manifold or linear variety, is a geometric structure that generalizes the affine properties of Euclidean space. It is a subset of a vector space closed under affine combinations of vectors in the space.
- Subspace topologySubspace topologyIn topology and related areas of mathematics, a subspace of a topological space X is a subset S of X which is equipped with a natural topology induced from that of X called the subspace topology .- Definition :Given a topological space and a subset S of X, the...
, in topology and related areas of mathematics
In science fiction
- Hyperspace (science fiction)Hyperspace (science fiction)Hyperspace is a plot device sometimes used in science fiction. It is typically described as an alternative region of space co-existing with our own universe which may be entered using an energy field or other device...
, a fictional parallel universe sometimes referred to as subspace - Subspace (Star Trek)Subspace (Star Trek)In the Star Trek fictional universe, subspace is a feature of space-time which facilitates faster-than-light transit, in the form of interstellar travel or the transmission of information. Subspace obeys different laws of physics...
, a medium for faster-than-light communications or travel
In games
- SubSpace (video game), a two-dimensional space shooter computer game
- The Subspace Emissary, the two player Adventure mode in the video game Super Smash Bros. Brawl.
Other uses
- Subspace (BDSM)Subspace (BDSM)Subspace , in the context of a BDSM scene, is a psychological state that can sometimes be entered by the person bottoming in the scene. The term is unrelated to the mathematical term subspace....
, the psychological state of the submissive partner in a BDSM scene - "Subspace" (song), a single by Funker Vogt