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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 …
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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 …
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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 …
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