 A topological space which can arise in this way from a metric space is called a metrizable space.A sequence (formula_92) in a metric space formula_2 is said to converge to the limit formula_94 if and only if for every formula_95, there exists a natural number "N" such that formula_96 for all formula_97.Equivalently, one can use the general definition of convergence available in all topological spaces.