
Concepts In Measure Theory
Technically, a measure is a function that assigns a non-negative real number or to (certain) subsets of a set X. It must assign 0 to the empty set and be additive, the measure of a “large” subset that can be decomposed into a finite (or countable) number of “smaller” disjoint subsets, is the sum of the measures of the “smaller” subsets. In general, if one wants to associate a consistent size to ea...
Technically, a measure is a function that assigns a non-negative real number or to (certain) subsets of a set X. It must assign 0 to the empty set and be additive, the measure of a “large” subset that can be decomposed into a finite (or countable) number of “smaller” disjoint subsets, is the sum of the measures of the “smaller” subsets. In general, if one wants to associate a consistent size to ea...