Course : Mathematical Economics

Given our parametric example, we have proven that a function space endowed with the uniform metric, consisting of functions that are bijectively parameterized by the elements of a totally bounded metric space, and if the parameterization obeys a Lipschitz continuity property, is totally bounded. 

We have continued with our application of the notion of total boundedness in asymptotic analysis: the derivation of a Uniform Law of Large Numbers in a simple framework using a chaining argument that makes use of finite coverings. We have constructed examples of totally bounded sets via the notion of covering numbers.

Notes on the above can be found here. Notes on the particular ULLN application can be found here. 

The whiteboards from analogous lectures from the Av. Year 2020-21 (please keep in mind that those are not necessarily identical to the current lectures but they contain some common elements) can be found here.