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math104-s21:s:ryotainagaki [2021/08/30 19:06] 110.249.201.116 ↷ Links adapted because of a move operation |
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| Sometimes, we want to create our own metric space and transfer over properties. How these properties transfer over can be summarized by the following drawing (credits to Peng Zhou). | Sometimes, we want to create our own metric space and transfer over properties. How these properties transfer over can be summarized by the following drawing (credits to Peng Zhou). | ||
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| In this diagram there are two ways to create induced topology. We can either obtain the topology from an induced metric or from the old set itself. | In this diagram there are two ways to create induced topology. We can either obtain the topology from an induced metric or from the old set itself. | ||