mod04lec30 - Lebesgue measurability under Linear transformation, Construction of Vitali Set -Part 1

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Translations, Linear transformations preserve Lebesgue measurability as a property, m(L(E)) = |det L|*m(E), Invariance of lebesgue measure under Rigid Motions, Construction of a Vitali set, Characterising a lebesgue measurable set using an additivity property on outer measure
  1. NPTEL-NOC IITM
  2. Translations
  3. Linear transformations preserve Lebesgue measurability as a property
  4. m(L(E)) = |det L|*m(E)
  5. Inner and Outer regularity
  6. Open set as a union of almost disjoint boxes
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