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6
votes
Relation between cohomology operations and the Adams spectral sequence
Maybe these references can help:
Mauder, C. R. F.
On the differentials in the Adams spectral sequence.
Proc. Cambridge Philos. Soc. 60 (1964), 409–420.
Mosher, Robert E.; Tangora, Martin C.
Cohomolo …
2
votes
Does every map $K(\mathbb{Z}, n) \to K(\mathbb{Z}/m, n + k)$ factor through $K(\mathbb{Z}/m,...
I Steenrod's 1957 Colloquium Lectures, published as
Steenrod, Norman E.
Cohomology operations, and obstructions to extending continuous functions.
Advances in Math. 8 (1972), 371–416.
he ends Section …
9
votes
Does every map $K(\mathbb{Z}, n) \to K(\mathbb{Z}/m, n + k)$ factor through $K(\mathbb{Z}/m,...
The answer is (also) yes when $m=p$ is an odd prime, by Theoreme 2 in
Cartan, H. Détermination des algèbres $H_*(\pi, n; Z_p)$ et $H^*(\pi, n; Z_p)$, $p$ premier impair.
Séminaire Henri Cartan, Tome 7 …