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I have split off complex projective space from projective space and added some basic facts about its cohomology.
I have added a bunch of basic stuff to complex projective space:
the definition with some more details;
the statement and proof of the standard cell structure;
the statement and proof of the ordinary homology groups and cohomology rings;
the statement and proof of the complex oriented cohomology ring
(the last one essentially copied over from complex oriented cohomology theory, for completeness).
Sure! Please do.
Since it was missing, I have added statement and proof of the homotopy groups of (now here).
In doing so, I noticed that an existing Properties-section titled “Homotopy” really should have been titled “Relation to topological K-theory”, so I renamed it and also moved it further down the list (to have the Properties ordered, roughly, from more basic to more sophisticated), now here
added the statement (here) that is an Oka manifold
added pointer to:
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