Want to take part in these discussions? Sign in if you have an account, or apply for one below
Vanilla 1.1.10 is a product of Lussumo. More Information: Documentation, Community Support.
Created page for BO(n), the classifying space of the orthogonal group O(n). (See discussion on Stiefel-Whitney class.) There is still a lot to add though.
Edit: Accidently pushed the same message again. There seem to be some render issues needing to be fixed. Edit: They are fixed now.
Good.
In the first sentence I have added a parenthetical making it read:
$B O(n)$ is the classifying space for (principal bundles with structure group) the orthogonal group $O(n)$.
Changed “limit” to “colimit” and added stable orthogonal group like on BU(n).
Added the simplest classifying space $B O(1)\cong\mathbb{R}P^\infty$ and its classification of $O(1)$ principal bundles. (A section about the general classification will follow soon.) Also linked the Wikipedia page Classifying space for O(n).
Edit: As a link including “)” can’t be linked due to disrupting the
environment, I have created a redirect from “Classifying space for orthogonal group”.
Added reference for definition in Milnor & Stasheff. Added connection to characteristic classes. (I plan to create the page for balanced product in the future.) Also linked pages of BSO(n) and BSU(n), which I will create either today or tomorrow.
1 to 7 of 7