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• CommentRowNumber1.
• CommentAuthorUrs
• CommentTimeNov 27th 2020
• (edited Nov 27th 2020)

starting something, for the moment just so as to record that

there is a homeomorphism

$\mathbb{O}P^2 \,\simeq\, S^{15} \underset{h_{\mathbb{O}}}{\cup} \mathbb{H}P_1$

between the octonionic projective plane and the attaching space obtained from the octonionic projective line along the octonionic Hopf fibration.

• CommentRowNumber2.
• CommentAuthorUrs
• CommentTimeNov 27th 2020

• CommentRowNumber3.
• CommentAuthorDavidRoberts
• CommentTimeNov 27th 2020

Hmm, is that meant to be $\mathbb{O}P^1$?

• CommentRowNumber4.
• CommentAuthorDavid_Corfield
• CommentTimeNov 28th 2020

Yes, I changed it already on the page itself.

• CommentRowNumber5.
• CommentAuthorzskoda
• CommentTimeMar 28th 2021
• Rowena Held, Iva Stavrov, Brian VanKoten, (Semi-)Riemannian geometry of (para-)octonionic projective planes, Diff. Geom. & its Appl. 27:4 (2009) 464-481 doi:/10.1016/j.difgeo.2009.01.007
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