Question: 3. Dene the function do : X2 > R by d0(x,y) = 0 for any x,y e X. (i) (10 pts) Is (X, do) a

3. Dene the function do : X2 > R by d0(x,y) = 0 for any x,y e X. (i) (10 pts) Is (X, do) a metric space? Explain. Be explicit about the assumptions you are making in your claim. (ii) (10 pts) Show that (X, do) is a semimetric space. What are the open sets in this space

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