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Vanilla 1.1.10 is a product of Lussumo. More Information: Documentation, Community Support.

• CommentRowNumber1.
• CommentAuthorUrs
• CommentTimeFeb 15th 2016

I have split off complex projective space from projective space and added some basic facts about its cohomology.

• CommentRowNumber2.
• CommentAuthorUrs
• CommentTimeMay 10th 2016
• (edited May 10th 2016)

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).

• CommentRowNumber3.
• CommentAuthorUrs
• CommentTimeAug 6th 2020

added brief mentioning of the Sullivan model of $\mathbb{C}P^n$

• CommentRowNumber4.
• CommentAuthorEgbertRijke
• CommentTimeAug 6th 2020
• CommentRowNumber5.
• CommentAuthorUrs
• CommentTimeAug 6th 2020

• CommentRowNumber6.
• CommentAuthorUrs
• CommentTimeJan 27th 2021
• (edited Jan 27th 2021)

Since it was missing, I have added statement and proof of the homotopy groups of $\mathbb{C}P^n$ (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

• CommentRowNumber7.
• CommentAuthorUrs
• CommentTimeJul 17th 2021

added the statement (here) that $\mathbb{C}P^n$ is an Oka manifold

• CommentRowNumber8.
• CommentAuthorUrs
• CommentTimeAug 17th 2021

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