limit superior of sets
Let be a sequence of sets. The limit superior of sets is defined by
It is easy to see that if and only if for infinitely many values of . Because of this, in probability theory the notation is often used to refer to , where i.o. stands for infinitely often.
The limit inferior of sets is defined by
and it can be shown that if and only if belongs to for all but finitely many values of .
|Title||limit superior of sets|
|Date of creation||2013-03-22 13:13:22|
|Last modified on||2013-03-22 13:13:22|
|Last modified by||Koro (127)|
|Defines||limit inferior of sets|