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• 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 $(h_{n,k})^2$ are $d_1$-cocycles? In Kochman’s book on p. 201 it says “since $d_1$ is a derivation”. But the product is in the cobar complex, where we don’t have that $(d_1 h_{n,k}) h_{n,k} + h_{n,k} (d_1 h_{n,k}) = 2 h_{n,k} (d_1 h_{n,k})$ (hence $\cdots = 0 \;mod \;2$). 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 $E_1$-page, which is graded commutative]