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May 19, 2021 at 21:52 comment added Hannes Thiel Great example, thank you!
May 19, 2021 at 21:52 vote accept Hannes Thiel
May 19, 2021 at 21:42 history edited Jochen Glueck CC BY-SA 4.0
Changed the counterexample such that $\pi$ becomes bijective.
May 19, 2021 at 21:36 history answered Jochen Glueck CC BY-SA 4.0