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

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
    • CommentTimeMay 13th 2016
    • (edited May 13th 2016)

    Might anyone have a pdf copy of Peter May’s thesis for me, the document that, I gather, expands over the published version May 66 by a discussion specific to the Steenrod algebra?

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeMay 13th 2016
    • (edited May 13th 2016)

    I have been adding to May spectral sequence details of its construction, following the sketch on p. 69 of Ravenel 86 (also Kochman 96, section 5.3).

    I have tried to make it very explicit, and will eventually try to make it more expository. There might still be glitches, though. I have marked the entry as “under construction”.

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeMay 13th 2016

    I have now also started to add the discussion here of how from the May spectral sequence the homotopy groups of spheres at 2 are computed. For the moment I tried to put in just enough information to make clear how the computation works. And then the tables.

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeJul 19th 2016
    • (edited Jul 19th 2016)

    On the first page of the May spectral sequence for the second page of the classical Adams spectral sequence: how do we deduce that all (hn,k)2 are d1-cocycles? In Kochman’s book on p. 201 it says “since d1 is a derivation”. But the product is in the cobar complex, where we don’t have that (d1hn,k)hn,k+hn,k(d1hn,k)=2hn,k(d1hn,k) (hence =0mod2). Or do we? I must be missing something here.

    [edit: got it; the product of course takes place not in the cobar complex, but in its image in the E1-page, which is graded commutative]