So I'm dealing with this exercise in which it is asked to determine whether the torus can be a 3-cover of the Klein bottle. A friend of mine came up with a proof that this is not the case, but this requires some long computations with fundamental groups. Does anybody of you know of a slick way to prove this using the theory of covering spaces?
2026-03-30 01:47:07.1774835227
3 sheeted cover of Klein bottle with torus
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