Drexel dragonThe Math ForumDonate to the Math Forum



Search All of the Math Forum:

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


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

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 ]
David C. Ullrich

Posts: 21,553
Registered: 12/6/04
Re: Half Measure and Correction
Posted: Mar 24, 2013 2:49 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

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...





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

[Privacy Policy] [Terms of Use]

© Drexel University 1994-2014. All Rights Reserved.
The Math Forum is a research and educational enterprise of the Drexel University School of Education.