The Math Forum

Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

Math Forum » Discussions » sci.math.* » sci.math

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

Topic: Half Measure
Replies: 14   Last Post: Mar 25, 2013 5:03 PM

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
Butch Malahide

Posts: 894
Registered: 6/29/05
Re: Half Measure and Correction
Posted: Mar 24, 2013 1:37 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

On Mar 24, 10:53 am, David C. Ullrich <>
> [. . .]
> 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?

> and such that m(D intersect [0,1]) = 1/2 ?

OK, that's different.

> 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...

Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© The Math Forum at NCTM 1994-2018. All Rights Reserved.