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sequentially compact space

sequentially compact space

[si¦kwen·chə·lē ‚käm‚pakt ′spās]
(mathematics)
A topological space with the property that every sequence formed from its points has a subsequence that converges to a point in the space.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
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Let (X, d) be a forward sequentially compact space and T : X [right arrow] X backward contraction.
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