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Sep 12, 2018 at 3:21 vote accept jlk
Sep 10, 2018 at 14:38 comment added Niels @Denis Nardin : right, this is written in this way in Douady&Douady's book for instance.
Sep 10, 2018 at 12:17 comment added Denis Nardin It might be worth mentioning that this description of $\pi_1(X,x)$ gives a very intuitive proof the Seifert-van Kampen theorem (reducing it to proving that covering spaces glue along open covers)
Sep 10, 2018 at 8:16 history answered Niels CC BY-SA 4.0