 The topology generated by the open sets in this metric is the topology of uniform convergence on [0, "T"], or the uniform topology.Thinking of the domain [0, "T"] as "time" and the range R"n" as "space", an intuitive view of the uniform topology is that two functions are "close" if we can "wiggle space a bit" and get the graph of "f" to lie on top of the graph of "g", while leaving time fixed.Contrast this with the Skorokhod topology, which allows us to "wiggle" both space and time.