Generalization of Helly theorem

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I am working on Helly theorems But it is a very famous theorem which has many many different types; Here is a well-known and basic version of Helly:

enter image description here "Lectures on discrete geometry Jiri Matousek"

Does anyone knows a generalization which in works on another spaces ??? I mean a version that not be only for $\mathbb{R}^{d}$