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.

Printable View

- April 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. - April 5th 2009, 04:40 PMMush