(X,\rho) is a pseudometric space
Define:
x~y if and only if ρ(x,y)=0
(It is shown that x~y is an equivalence relation)
Ques:
If X^{*} is a set of equivalence classes under this relation, then \rho(x,y) depends only on the equivalence classes of x and y and \rho induces a metric on...