Mathematical Economics

We have investigated the further relation notion between metrics on the same carrier set; two suchlike metrics are considered equivalent whenever the first dominates the second and vice versa. Hence two such metrics can be considered equivalent-and suspected of introducing "similar properties" on the same carrier-without being necessarily equal as functions.

We examined the important-to the upcoming lectures-example of the space of bounded real functions on a non-empty domain endowed with the uniform metric and noted that it contains several subexamples, e.g. the spaces of real n-vectors equipped with the max-metric.

Notes on the previous can be found here.  The whiteboards from analogous previous year's 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.