Subspace may refer to:
Mathematics
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Subspace (mathematics)
In mathematics, a space is a Set (mathematics), set (sometimes known as a Universe (mathematics), ''universe'') endowed with a mathematical structure, structure defining the relationships among the Element (mathematics), elements of the set.
A su ...
, a particular subset 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'', ''𝜏'') is a subset ''S'' of ''X'' which is equipped with a topology induced from that of ''𝜏'' called the subspace topology (or the relative topology ...
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Linear subspace
In mathematics, the term ''linear'' is used in two distinct senses for two different properties:
* linearity of a ''function (mathematics), function'' (or ''mapping (mathematics), mapping'');
* linearity of a ''polynomial''.
An example of a li ...
, in linear algebra, a subset of a vector space that is closed under addition and scalar multiplication
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Flat (geometry)
In geometry, a flat is an affine subspace, i.e. a subset of an affine space that is itself an affine space. Particularly, in the case the parent space is Euclidean, a flat is a Euclidean subspace which inherits the notion of distance from it ...
, a Euclidean subspace
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Affine subspace
In mathematics, an affine space is a geometry, geometric structure (mathematics), structure that generalizes some of the properties of Euclidean spaces in such a way that these are independent of the concepts of distance (mathematics), distance ...
, a geometric structure that generalizes the affine properties of a flat
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Projective subspace, a geometric structure that generalizes a linear subspace of a vector space
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Multilinear subspace in multilinear algebra, a subset of a tensor space that is closed under addition and scalar multiplication
Science fiction
* Also known as
hyperspace
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Subspace (''Star Trek''), a fictional feature of space-time that facilitates faster-than-light communication and transit
Games
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''SubSpace'' (video game), a two-dimensional space shooter computer game
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The Subspace Emissary, the Adventure mode in the video game ''Super Smash Bros. Brawl''
Other uses
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"Subspace" (song), a 2001 single by Funker Vogt
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Subspace, in BDSM, a psychological state that can be entered by the submissive participant
{{mathematical disambiguation