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$n\mathbb{RP}^2$ is $2n$-gon with identified edges. Can you check directions of arrows in picture? enter image description here

Thanks.

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Looks fine to me. –  Grumpy Parsnip Sep 16 '11 at 3:17
    
Except for maybe the part where it says "$2n$-gow." :) –  anon Sep 16 '11 at 9:45
    
Yes, all of the arrows have the same orientation –  The Chaz 2.0 Feb 24 '12 at 15:33
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