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example of pseudometric space

trivial pseudometric
Type of Math Object: 
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Mathematics Subject Classification

54E35 no label found


Example of pseudometric pasted from the pseudometric page:
Let X be a set, x0X , and let F(X) be functions XR . Then d(fg)=f(x0)−g(x0) is a pseudometric on F(X).

How do you prove the triangle inequality for this pseudometric?

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