
Re: Half Measure and Correction
Posted:
Mar 24, 2013 2:49 PM


On Sun, 24 Mar 2013 10:37:46 0700 (PDT), Butch Malahide <fred.galvin@gmail.com> wrote:
>On Mar 24, 10:53 am, David C. Ullrich <ullr...@math.okstate.edu> >wrote: >> [. . .] >> So the more interesting version of the question, >> in any case less trivial, amounts to this: Is there >> a measurable set D such that >> >> 0 < m(D intersect I) < m(I) >> >> for every open interval I, > >Didn't we just have that thread?
Yes.
> >http://groups.google.com/group/sci.math/msg/0cfe35786f2279f0?hl=en > >> and such that m(D intersect [0,1]) = 1/2 ? > >OK, that's different.
Precisely! heh.
>> The answer is yes, by the way. Think about >> "fat Cantor sets". Start with a Cantor set, then >> add some more Cantor sets, one in each interval >> the first set misses. Repeat until done...

