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I have a set $S$ and a distance metric $d$, and I need the least upper bound on the distance between any two elements of the set:

$$ \inf \left\{ x: \forall a, b\in S, x \ge d(a, b) \right\} $$

I'm going to need to use this quantity a lot in a project I'm working on, so I want to be able to refer to it by some kind of reasonably short name. Is there an existing name for this quantity? If not, what would be a good name to use?

Asaf Karagila
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AJMansfield
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1 Answers1

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I have heard it called "diameter."

marty cohen
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