Question

Prove Lemma 1.6.26 in the discontinuous case. (Hint: the rising sun lemma is no longer available, but one can use either the Vitali-type covering lemma (which will give C = 3) or the Besicovitch lemma (which will give C = 2), by modifying the proof of Theorem 1.6.20.

   Prove Lemma 1.6.26 in the discontinuous case.
(Hint: the rising sun lemma is no longer available, but one can use
either the Vitali-type covering lemma (which will give C = 3) or the
Besicovitch lemma (which will give C = 2), by modifying the proof
of Theorem 1.6.20.

An Introduction To Measure Theory (January 2011 Draft)

Terence Tao 1st Edition

Chapter 1, Problem 31

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Prove Lemma 1.6.26 in the discontinuous case. (Hint: the rising sun lemma is no longer available, but one can use either the Vitali-type covering lemma (which will give C = 3) or the Besicovitch lemma (which will give C = 2), by modifying the proof of Theorem 1.6.20.

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