Subspace Topology, Induced
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Subspace may refer to:


In mathematics

* A space inheriting all characteristics of a parent space * A subset of a topological space endowed with the subspace topology *
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), a Euclidean subspace * Affine subspace, a geometric structure that generalizes the affine properties of a flat *
Projective subspace In mathematics, the concept of a projective space originated from the visual effect of perspective, where parallel lines seem to meet ''at infinity''. A projective space may thus be viewed as the extension of a Euclidean space, or, more generally ...
, a geometric structure that generalizes a linear subspace of a vector space *
Multilinear subspace Multilinear subspace learning is an approach to dimensionality reduction.M. A. O. Vasilescu, D. Terzopoulos (2003"Multilinear Subspace Analysis of Image Ensembles" "Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition (CVP ...
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 * 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