Ascoli's theorem(redirected from Arzelà-Ascoli theorem)
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Ascoli's theorem[as′kō‚lēz ‚thir·əm]
The theorem that a set of uniformly bounded, equicontinuous, real-valued functions on a closed set of a real Euclidean n-dimensional space contains a sequence of functions which converges uniformly on compact subsets.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.