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

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


  • $\begingroup$ 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

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


Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.