# What is the difference between projective space and projective plane?

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

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

Thanks.

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

The projective plane is the projective space of dimension $2$. There is a projective space for every dimension $n\in\mathbb N$.