Welcome to our community

Be a part of something great, join today!

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.
 

Country Boy

Well-known member
MHB Math Helper
Jan 30, 2018
758
Well, first, what do you know about the Cantor set so we will know what kind of help you need?

What is the definition of "Cantor set"?

Now lets go step by step. What IS the first step? What do you first do in constructing Cantor set?