quasi
Posts:
12,057
Registered:
7/15/05


Re: Half Measure and Correction
Posted:
Mar 24, 2013 2:35 AM


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

