Re: Sets of measure 0 question...



On Fri, 13 May 2005, [ISO-8859-1] José Carlos Santos wrote:

> On 13-05-2005 6:41, William Elliot wrote:
>
> > This is the second part of ==>?
> > This I don't see. What if A = N, the integers?
> >
> > In fact, if sum_j |A_j| = k < oo, then for all j in N, |A_j| < k
> > and every A_j contains at most [A_j] <= k elements of N.
>
> What you wrote makes no sense to me. Each one of my A_n's is a set of
> intervals of R. So, what do you mean by sum_j |A_j|?
>
sum(j=1,oo) |Aj|
[Aj] typo for |Aj|
.