Recent content by Mathsos

  1. M

    Proving Lebesque Measure of {x^2 : x€E} is 0

    Honestly i have no idea about "change of variables" formula.I try to prove with outer measure formula but i failed.In my method i have difficulties about whether x^2 is subset of E or not. I made cases for it and for x^2 subset of E i made it but i think they can be disjoint sets.That is my...
  2. M

    Proving Lebesque Measure of {x^2 : x€E} is 0

    Suppose that E has Lebesque measure 0. Prove that the set {x^2 : x€E} has Lebesque measure 0. Please help me. I have a problem which is unsolveable for me. Thanks!