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I was wondering if if has any sense of talking about angles on an arbitrary http://en.wikipedia.org/wiki/Metric_space" [Broken] (where only a distance function with some properties is defined)

At first sight it seems to not has any sense, only some metric spaces has angles, namely does that are induced from an inner product space (where angles are defined as usual).

But defining an angle as the "distance" (lenght) of a segment of circunference (with an integral) between two elements of the set has no sense?

Because we can make (riemann)-integrals on an abstract metric space, can't we? Or that is wrong too?

Thanks

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# Angle on abstract metric space, has sense?

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