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.
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.
Remember, a function is said to be continuous if, at the point , if given , there is a such that