Subspace


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subspace

[′səb‚spās]
(mathematics)
A subset of a space which, in the appropriate context, is a space in its own right.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
The following article is from The Great Soviet Encyclopedia (1979). It might be outdated or ideologically biased.

Subspace

 

in mathematics, a set Pʹ of elements of a space P that is itself a space in the same sense as P. For example, every set of elements of a metric space is a metric subspace. In a three-dimensional vector space R3, any line or plane is, respectively, a subspace R1 and R2 of R3

The Great Soviet Encyclopedia, 3rd Edition (1970-1979). © 2010 The Gale Group, Inc. All rights reserved.
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