Mathematical Economics

We continued examining subexamples inside the important example of the space of bounded real functions on a non-empty domain endowed with the uniform metric.

We begun studying properties of metric spaces via the definition of the open and the closed balls that the metric defines. We have shown that these cannot in any case be empty, and obey some monotonicity property. The examples of the real line endowed with the usual metric, the real line endowed with the "exponential metric", the real line endowed with the discrete one, showed that the “geometry” of the open (and/or the closed) balls crucially depends on the metric.

Notes for 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.