So I am demanded to offer a continuous bijection between two homeomorphic spaces that is not a homeomorphism.
As a beginner for topology, I am completely stuck. Can anyone offer me a hint?
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I don't think that that's an appropriate question to ask a beginner. – José Carlos Santos May 23 '21 at 18:29
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https://math.stackexchange.com/questions/4086442/continuous-on-topology-space/4086455#4086455 – Shubham Johri May 23 '21 at 18:43
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Yeah there are some examples, but I am still not sure whether these spaces are homeomorphic..... – Mr.Infinity May 23 '21 at 20:22