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subspace

[suhb-speys]
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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.
    1. a subset of a given space.
    2. Also called linear manifold.a subset of a vector space which is itself a vector space.
    3. a subset of a topological space, having the relative topology.
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Origin of subspace

First recorded in 1925–30; sub- + space
Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2018