Cantor Set Unfolded: Infinite Points, Zero Length

In this Deep Dive, we unpack the Cantor ternary set—from its simple step-by-step construction by removing middle thirds to the base-3 characterization using digits 0 and 2. We'll explore why the set has zero measure even though it is uncountable, why endpoints remain, and how a simple 0/2-to-0/1 map reveals its connection to binary and the Cantor function. Join our expert guide as we crack intuition, lay out the topology and measure-theory facts, and reveal how this foundational object reshapes our view of infinity in analysis and topology.

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