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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?
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”.
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.
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]
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