The set of points not removed at any step is precisely the set of points belonging to A(n) for each n. So, the Cantor set is the intersection of all A(n).The Cantor set = the points not removed at any step.
It is tempting to put
The Cantor set = the intersection of all A(n), but this would cause problems
You defined not a single real number p, but a sequence , so instead of , you have for all n.I concentrate on p = (the number corresponding to) the right end-point of the left-most interval of the Cantor set.
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