Date: Mar 24, 2013 2:35 AM
Author: quasi
Subject: Re: Half Measure and Correction
Butch Malahide wrote:

>quasi wrote:

>> William Elliot wrote:

>> >

>> >Question: Is there a dense D, subset of R with

>> >empty interior and measure D /\ [0,1] = 1/2?

>>

>> Yes.

>>

>> Let

>>

>> A = (0,1/2)\Q

>>

>> B = Q\A

>>

>> D = A U B

>

>Then B = Q\A = Q, and D = A U Q = (0,1/2) U Q has nonempty

>interior.

>

>Of course you meant to say B = Q\(0,1/2), so that A is the

>symmetric difference of (0,1/2) and Q.

Yes, that's what I meant.

quasi