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Definition. Let $X$,$Y$ be metric spaces.Then a map $T:X\to Y$ is an homeomorphism if $T$ is continuous, open and bijective. I don't find a counterexample of such maps, may someone give me at least one example where I can understand how this is done to show $T$ is homeomorphic. Regards!

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    The question is unclear ...2012-04-14

3 Answers 3