Course : Mathematical Economics

We have initiated our examination of the notion of total boundness. We have given properties, e.g. that the centers of the covering balls can be chosen inside the totally bounded set, as well as (trivial) examples-counterexamples (the analytical complexity of the notion clearly manifested itself on that counter examples were easier to come up to) using among others the property of sequential disconnectedness.

Given the analytical complexity of the verification of total boundness, we will use the introduction of the notions of covering numbers and metric entropy in order to construct examples and further properties. We have occupied ourselves with application relevant examples in function spaces.

Notes on the above can be found  here, and here.  

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