The notion of projective space over the octonions makes sense for (but not beyond, see e.g. Voelkel 16, Sec. 1.3). Octonionic projective plane is also called Cayley projective plane.
There is a homeomorphism
between the octonionic projective plane and the attaching space obtained from the octonionic projective line along the octonionic Hopf fibration.
See also at cell structure of projective spaces.
Last revised on March 28, 2021 at 17:07:47. See the history of this page for a list of all contributions to it.