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Mar 11, 2012 at 16:30 comment added Henry Cohn This is correct as stated, but it's worth pointing out explicitly that it depends on interpreting "projective space" as having three (or more) dimensions, as explained in the first paragraph. Projective planes can be non-Desarguesian, in which case they cannot be coordinatized using a skew field.
Apr 28, 2011 at 9:24 history answered John Stillwell CC BY-SA 3.0