I am not familiar with Cantor set, so I would like to ask suppose I have a Cantor set $C$ which represented in binary sequence. Let $x\in C$ and now I change 1 entry in $x$, will the new sequence in $C$?
2026-03-26 22:50:20.1774565420
Binary sequence and Cantor set
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The sequence $(1,1,...)$ represents $1$. If you change the first coordinate to $0$ you get $\frac 1 2$ which is not in $C$.