The Cantor set C0​The Cantor set C0​, a sparse subset of the s... | Filo
The Cantor set C0​The Cantor set C0​, a sparse subset of the s... | Filo
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The Cantor set, named after the German mathematician George Cantor (1845 - 1918), is constructed as follows. We start with the closed interval [0, 1] and remove the open interval ( (1)/(3), (2)/(3) ). That leaves the two intervals [ 0, (1)/(3) ] and [ (2)/(3), 1 ] and we remove the open middle third of each. Four intervals remain and given we remove the open middle third of each of them. We continue this procedure indefinitely, at each step removing the open middle third of every interval that r
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