Question

Example of null set in mathematics with conditions

Answer 1

In set theory, a null set is a set that can be covered by a countable union of intervals of arbitrarily small total length. The notion of null set in set theory anticipates the development of Lebesgue measure since a null set necessarily has measure zero. More generally, on a given measure space {\displaystyle M=(X,\Sigma ,\mu )} a null set is a set {\displaystyle S\subset X} such that {(S)=0}