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(Advanced Calculus and Real Analysis) - Cantor set, Lebesgue outer measure * (a) Define the Cantor set. (b)...

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Advance Math

(Advanced Calculus and Real Analysis) - Cantor set,Lebesgue outer measure

* (a) Define the Cantor set.

(b) Show that the Cantor set P has the Lebesgue outermeasure zero.

(c) Find the Lebesgue outer measure of the set L in theconstruction of the Cantor set.

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