Synopsis 2nd Distance Lecture

Sunday, March 7, 2021 at 5:22 PM
- written by user ΑΡΒΑΝΙΤΗΣ ΣΤΥΛΙΑΝΟΣ

We went through with the examination of several examples of such spaces, including the Hamming distance, as well as distances defined on sets of real finite dimensional vectors.

(Some of) The examples have shown that it is possible that different metrics on the same carrier set can obey relations, e.g. in the form of functional inequalities. 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.

Notes on the above can be found here, and the lecture's white boards can be found here.

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