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
Multilinear subspace learning is an approach for disentangling the causal factor of data formation and performing dimensionality reduction.M. A. O. Vasilescu, D. Terzopoulos (2003"Multilinear Subspace Analysis of Image Ensembles" "Proceedings of ...
in multilinear algebra, a subset of a tensor space that is closed under addition and scalar multiplication
Science fiction
* Also known as
hyperspace
In science fiction, hyperspace (also known as nulspace, subspace, overspace, jumpspace and similar terms) is a concept relating to higher dimensions as well as parallel universes and a faster-than-light (FTL) method of interstellar travel ...
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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