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Nov 1, 2017 at 17:10 comment added W. Cadegan-Schlieper Not sure about a citable reference but in general for non-orientable manifolds there always exists an orientable double cover.
Jul 24, 2016 at 15:16 comment added Ayan Then how to show that the theorem also works for non-orientable manifolds? Is there any citable reference to that?
May 7, 2016 at 8:51 comment added Ayan Thanks so much! I will get back to you ifi have any doubts.
May 7, 2016 at 6:42 vote accept Ayan
May 6, 2016 at 17:54 history answered Qiaochu Yuan CC BY-SA 3.0