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

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William Elliot

Posts: 2,637
Registered: 1/8/12
Re: Half Measure and Correction
Posted: Mar 23, 2013 11:42 PM
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On Sun, 24 Mar 2013, Mike Terry wrote:
> "William Elliot" <> wrote in message

> > Is there a dense D, subset of R with measure D /\ [0,1] = 1/2?

Of course D = [0,1/2] \/ Q answers the whoops, mistated problem.

Question: Is there a dense D, subset of R with
empty interior and measure D /\ [0,1] = 1/2?

> Is there a dense C, subset of R with measure C /\ [0,1] = 0?

Yes, Q.

> How might this be extended to construct your D?

It can?

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