Not signed in (Sign In)

Start a new discussion

Not signed in

Want to take part in these discussions? Sign in if you have an account, or apply for one below

  • Sign in using OpenID

Discussion Tag Cloud

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

Welcome to nForum
If you want to take part in these discussions either sign in now (if you have an account), apply for one now (if you don't).
    • 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 P n\mathbb{C}P^n

    diff, v28, current

    • CommentRowNumber4.
    • CommentAuthorEgbertRijke
    • CommentTimeAug 6th 2020
    I can write something about its definition in HoTT, if that is appropriate on this page
    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeAug 6th 2020

    Sure! Please do.

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

    Since it was missing, I have added statement and proof of the homotopy groups of P n\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

    diff, v35, current

    • CommentRowNumber7.
    • CommentAuthorUrs
    • CommentTimeJul 17th 2021

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

    diff, v36, current

    • CommentRowNumber8.
    • CommentAuthorUrs
    • CommentTimeAug 17th 2021

    added pointer to:

    diff, v39, current

Add your comments
  • Please log in or leave your comment as a "guest post". If commenting as a "guest", please include your name in the message as a courtesy. Note: only certain categories allow guest posts.
  • To produce a hyperlink to an nLab entry, simply put double square brackets around its name, e.g. [[category]]. To use (La)TeX mathematics in your post, make sure Markdown+Itex is selected below and put your mathematics between dollar signs as usual. Only a subset of the usual TeX math commands are accepted: see here for a list.

  • (Help)