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What is Cantor Ternary Set: Uncountability & Measure Zero about?

The Cantor ternary set is formed by repeatedly removing the open middle third from intervals, starting with C0 = [0, 1]. It is uncountable as every point can be represented in base-3 using only the digits 0 and 2, and it has a total measure of zero. Thus, the Cantor set is both uncountable and has outer measure zero.

Author

Basit Rasool

Language

EN