maharam's theorem
Word Rarity
Very rare
Frequency: Zipf frequency 0.00 in modern English
27
Scrabble Score
15
Letters
4
Syllables
8
Unique Chars
Meaning
name
A result about the decomposability of measure spaces, playing an important role in the theory of Banach spaces. In brief, it states that every complete measure space is decomposable into "non-atomic parts" (copies of products of the unit interval [0,1] on the reals), and "purely atomic parts", using the counting measure on some discrete space.