What is the topological characterization of the Cantor set?

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Hello PF! Was wondering if anyone knew a good reference on the topological characterization of the cantor set, proving that if a metric space is perfect, compact, totally disconnected it is homeomorphic to the cantor set. Thanks!
 
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See "General Topology" by Willard. The result you want is Corollary 20.4, page 217
 

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