Prove that Cantor set is a perfect set.

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- December 10th 2008, 09:09 AMsisaCantor set
Prove that Cantor set is a perfect set.

- December 10th 2008, 11:21 AMmeymathis
Google is your friend.

For example, I found this very quickly:

http://pirate.shu.edu/~wachsmut/ira/topo/answers/cantor2.html - December 10th 2008, 12:42 PMsisa
Ok but still that proof is missing a part

Note that this proof is not yet complete. One still has to prove the assertion that each set*A n*is indeed comprised of*2 n*closed subintervals, with all endpoints being part of the Cantor set. But that is left as an exercise.

How to SHOW thaT?