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Nov 12, 2019 at 9:54 comment added Ronnie Brown I think it is also useful to investigate the target category - covering morphisms of groupoids.
Nov 9, 2019 at 14:06 comment added Kevin Walker Thanks. I had not noticed that you were describing essentially the same thing.
Nov 8, 2019 at 20:51 comment added Ronnie Brown Here $p: C(X) \to X$ is what I have called $\sigma: \pi_1(X) \to X$.
Nov 8, 2019 at 20:11 history answered Kevin Walker CC BY-SA 4.0