Let C be the Cantor set(adsbygoogle = window.adsbygoogle || []).push({});

Let A be the set which is the union of those end points of each interval in each step of the cantor set construction

It seems to be true that A is countable and C is uncountable. Moreover, A is a proper subset of C. But I cannot imagin what kind of the points in C - A should be, for if p is not an end point of some interval, p seems to be an interior point of some interval but contor set contains no segment. Is there any way to understand these points besides using an ternary expansion to prove that C is uncountable and hence ponits like this simply exist?

Any help would be appreciated

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# Question about Cantor Set

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