Let (X,d) be a metric space. Prove that the distance function

is continuous, assuming that XxX has the product topology that results from each copy of X having the topology induced by d.

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- Apr 5th 2009, 03:38 PMAndreametDistance function: continuous?
Let (X,d) be a metric space. Prove that the distance function

is continuous, assuming that XxX has the product topology that results from each copy of X having the topology induced by d. - Apr 5th 2009, 04:40 PMMush