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778 :名無しのひみつ@転載は禁止[]:2015/07/28(火) 12:10:29.11 ID:l0IKXxHl - MEASURES TAKING CARDINAL NUMBERS
FOR THEIR VALUES http://plms.oxfordjournals.org/content/s3-21/2/313.full.pdf By IRENE MOORE [Received 2 April 1969―Revised 21 July 1969] One method of comparing the size of sets is to 'count' the number of members in each. By so doing, one may be said to have defined on the space considered a set function, m, where for each set E in the space m(E) = Card E. This function behaves very much like a measure on the space. More generally, we take as our concept of a cardinal outer measure a set function on the subsets of the space taking for its values cardinal numbers but otherwise possessing the properties of an outer measure on the space.
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