subspace

[suhb-speys]

sub·space

[suhb-speys]
noun
1.
a smaller space within a main area that has been divided or subdivided: The jewelry shop occupies a subspace in the hotel's lobby.
2.
Mathematics.
a.
a subset of a given space.
b.
Also called linear manifold. a subset of a vector space which is itself a vector space.
c.
a subset of a topological space, having the relative topology.

Origin:
1925–30; sub- + space
Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2012.
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Subspace is always a great word to know.
So is finite. Does it mean:
a set of elements capable of being completely counted and not zero
a number usually expressed in the form a/b, a ratio of algebraic quantities similarly expressed
WordNet
subspace

noun
a space that is contained within another space 
WordNet® 3.0, © 2006 by Princeton University.
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