Not signed in (Sign In)

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

Site Tag Cloud

2-category 2-category-theory abelian-categories adjoint algebra algebraic algebraic-geometry algebraic-topology analysis analytic-geometry arithmetic arithmetic-geometry book bundles calculus categorical categories category category-theory chern-weil-theory cohesion cohesive-homotopy-type-theory cohomology colimits combinatorics complex complex-geometry computable-mathematics computer-science constructive cosmology deformation-theory descent diagrams differential differential-cohomology differential-equations differential-geometry digraphs duality elliptic-cohomology enriched fibration foundation foundations functional-analysis functor gauge-theory gebra geometric-quantization geometry graph graphs gravity grothendieck group group-theory harmonic-analysis higher higher-algebra higher-category-theory higher-differential-geometry higher-geometry higher-lie-theory higher-topos-theory homological homological-algebra homotopy homotopy-theory homotopy-type-theory index-theory integration integration-theory k-theory lie-theory limits linear linear-algebra locale localization logic mathematics measure-theory modal modal-logic model model-category-theory monad monads monoidal monoidal-category-theory morphism motives motivic-cohomology nforum nlab noncommutative noncommutative-geometry number-theory of operads operator operator-algebra order-theory pages pasting philosophy physics pro-object probability probability-theory quantization quantum quantum-field quantum-field-theory quantum-mechanics quantum-physics quantum-theory question representation representation-theory riemannian-geometry scheme schemes set set-theory sheaf sheaves simplicial space spin-geometry stable-homotopy-theory stack string string-theory superalgebra supergeometry svg symplectic-geometry synthetic-differential-geometry terminology theory topology topos topos-theory tqft type type-theory universal variational-calculus

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
    • CommentTimeNov 15th 2011

    added to Stiefel-Whitney class briefly the definition/characterization.

    • CommentRowNumber2.
    • CommentAuthorjim_stasheff
    • CommentTimeNov 15th 2011
    You might want to add to your references an obvious one(which I am too modest to name !) listed in the wiki
    • CommentRowNumber3.
    • CommentAuthorTodd_Trimble
    • CommentTimeNov 15th 2011

    Jim: done.

    • CommentRowNumber4.
    • CommentAuthorDavidRoberts
    • CommentTimeNov 16th 2011

    Nice one, Jim.

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeNov 16th 2011

    Sorry for not having added the link earlier. I did have it at characteristic class and Pontryagin class, now I copied it over to Chern class, too.

    If you see it missing elsewhere, please just add it. As opposed to Wikipedia, on the nnLab you may be non-modest, if only it helps spread useful information.

    • CommentRowNumber6.
    • CommentAuthorTobyBartels
    • CommentTimeNov 16th 2011

    Yes, the nLab is our lab notebook, and we may wish to make note of where our papers are relevant to material in our notebook.

  1. striucture->structure

    Anonymous

    diff, v18, current

    • CommentRowNumber8.
    • CommentAuthorSamuel Adrian Antz
    • CommentTimeFeb 18th 2024
    • (edited Feb 18th 2024)

    Added reference to Stiefel-Whitney classes generating the cohomology ring of BO(n)B O(n).

    diff, v19, current

  2. Added cohomology ring of BSO(n)B S O(n) with reference.

    diff, v20, current

    • CommentRowNumber10.
    • CommentAuthorUrs
    • CommentTimeFeb 19th 2024
    • (edited Feb 19th 2024)

    I have added a few more words (classifying space, ordinary cohomology, orthogonal group).

    diff, v21, current

  3. As there are currently none, I’d like to create own pages for BO(n)B O(n), BSO(n)B S O(n), BU(n)B U(n) and BSU(n)B S U(n). (I already wrote the german Wikipedia pages for BO(n)B O(n) and BU(n)B U(n) last year.) What title should I use, for example for the page of BO(n)B O(n)? Simply “BO(n)” (like for example MO), “classifying space of O(n)” or “classifying space of orthogonal group”? (Or is there a particular reason for why most about them is all in classifying space?)

    • CommentRowNumber12.
    • CommentAuthorUrs
    • CommentTimeFeb 19th 2024

    Sounds good.

    Sure, BO(n) would work as a title, the other options as redirects.