>> That's a whole crapload of jargon, right there.
> 
> Those are all very basic terms for dealing with non-Euclidean spaces. 
> Since we're talking about non-Euclidean spaces, I don't think it's 
> uncalled for.

Not uncalled for, no. I'm just impressed that there exist people who 
actually know WHAT THE HELL THIS STUFF MEANS!

> That said, you do have something of a point there, so I'll rephrase:
> 
> I thought we were assuming that the spaces we were talking about come 
> with a pre-defined notion of distance, so why is there a need to 
> explicitly define it ourselves?

Yeah, that was basically my assumption too.

-- 
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