power of the continuum
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power of the continuum
[′pau̇·ər əvthə kən′tin·yə·wəm] (mathematics)
The cardinality of the set of real numbers.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive
(ii) The topological space ([B(H).sub.[parallel]*[parallel][less than or equal to]2], wot) is second countable then the collection of weakly-measurable sets has the
cardinality of the continuum. Combination of (i), (ii) shows the inclusion map [iota]: ([B(H).sub.[parallel]*[parallel][less than or equal to]2], wot) [right arrow] B(H) is norm measurable if and only if H is finite dimensional.
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