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Cantor set properties

John Smith Carn

New member
Mar 23, 2021
1
Help with some questions about Cantor set.

A) What is the measurement ∈ of each interval remaining after the k-th step? What is the number N(∈) of remaining intervals?

B) What is the measurement of the set of intervals remaining after the k-th step? What is the measurement of the Cantor set?

C) The dimension of a set can be defined by: imagem 1

Calculate the dimension D_0 of Cantor set.