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May I know the difference between projective plane and a projective space?

I thought these two are same. But I have some doubts.

Thanks.

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  • $\begingroup$ Without giving us the definitions that you are working with, it's difficult for us to determine the source of your doubts. $\endgroup$ – Sammy Black Nov 19 '13 at 8:42
  • $\begingroup$ To me, the anything plane is the $2$-dimensional case of the anything space. $\endgroup$ – Sammy Black Nov 19 '13 at 8:44
  • $\begingroup$ Yea, that is for 2D, but what is happening if the space is 3D? $\endgroup$ – Ryan Nov 19 '13 at 20:48
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The projective plane is the projective space of dimension $2$. There is a projective space for every dimension $n\in\mathbb N$.

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