G-delta set with the same Lebesgue outer measure - MathOverflow [closed] most recent 30 from http://mathoverflow.net 2013-05-21T07:49:12Z http://mathoverflow.net/feeds/question/55582 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/55582/g-delta-set-with-the-same-lebesgue-outer-measure G-delta set with the same Lebesgue outer measure Saebyeok Jeong 2011-02-16T04:35:08Z 2011-02-16T04:35:08Z <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>