The Cantor Set
The hint given for the problem is that the set of isolated pts of a countable complete metric space X forms a dense subset of X, and using this i need to prove that the cantor set is uncountable. so i was thinking that we need to use the fact that since cantor set has no isolated points (which was proven in previous exercise), but i keep getting stuck. can someone help me?
thanks so much for the input, but one small question, when you say "Since http://www.mathhelpforum.com/math-he...4a7f9cef-1.gif is a complete metric space " what is the metric you are using? just the ordinary euclidean metric? thanks.
Yes. Here it is the same thing as taking the absolute value of the number.
Originally Posted by squarerootof2