Date: Nov 17, 2012 8:53 AM Author: trj Subject: Re: Matheology § 152 > Note that *set* limits have some important

> properties.

>

> Given a sequence of sets {B_1,B_2,B_3,...}

> then the set limit always exists (it

> may be the empty set).

That is not correct. The limit only exists if the liminf of the

sequence is equal to the limsup of the sequence. This is not

always the case.