Mathematical Economics

We have been occupied with further examples of metrics and subsequent metric spaces, and have shown that it is possible that different metrics on the same carrier set can obey relations. We suspected that such relations might imply analogous ones between the relevant properties that each metric endows the space with, and that provides as with a motivation of further examination of such relations. We examined the important example of the space of bounded real functions on a non-empty domain endowed with the uniform metric and showed that it contains as particular examples  with the max-metric, or the set of bounded real sequence with the analogous metric. We were also occupied with the issues of metric subspaces and of product metric spaces (with a finite number of factors).