G-delta set with the same Lebesgue outer measure - MathOverflow [closed]most recent 30 from http://mathoverflow.net2013-05-21T07:49:12Zhttp://mathoverflow.net/feeds/question/55582http://www.creativecommons.org/licenses/by-nc/2.5/rdfhttp://mathoverflow.net/questions/55582/g-delta-set-with-the-same-lebesgue-outer-measureG-delta set with the same Lebesgue outer measureSaebyeok Jeong2011-02-16T04:35:08Z2011-02-16T04:35:08Z
<p>Statement: If E is a bounded set of real numbers, there exists a G-delta set G such that G contains E and has the same Lebesgue outer measure with E.</p>
<p>I completed the proof for the case that E is countable, but how should I prove this for the case that E is uncountable?</p>