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> spaces whose distance measures obey the triangle inequality That would be a metric space, and a distance obey the triangle inequality by definition. The elem
by def-lkb 8y ago
> spaces whose distance measures obey the triangle inequality
That would be a metric space, and a distance obey the triangle inequality by definition. The element of the space are otherwise quite arbitrary.
Unfortunately, Normed spaces are a subset of metric spaces which are much less general (in particular they have to be vector spaces).
- macleginn 8y agoYou are right, I wantonly omitted some of the important properties. Cf. the response of one of the authors in another comment on how their method tackles general metric spaces.