i was wondering how i can draw diagrams of mappings from sets. Does there exist a library for this in latex or an external program that can do this? Thank you.

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    Welcome to TeX-SE! These are standard pictures of a covering of a manifold, which can be done e.g. with TikZ, and do per se not have to do anything with GR. – user121799 Mar 20 at 15:53

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