Mathematical Economics

You can find here an example of the use of the metric entropy integral in the case of the Wiener process. We will work out this example when we examine the notion of continuity of functions between metric spaces. Furthermore, you can find here, a simple example, built upon an already examined one, that makes evident that non total boundness does not imply the existence of one element balls (as is typically the case in discrete spaces). Furthermore it implies that open balls can be non totally bounded, even though they are by construction bounded.