A theorem in homological algebra and stable homotopy of projective spaces

A theorem in homological algebra and stable homotopy of projective spaces
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Trans. Amer. Math. Soc. 109 (1963), 540-552

DOI: https://doi.org/10.1090/S0002-9947-1963-0156346-X

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References

J. F. Adams, On the structure and applications of the Steenrod algebra, Comment. Math. Helv. 32 (1958), 180–214. MR 96219, DOI 10.1007/BF02564578
J. F. Adams, On the non-existence of elements of Hopf invariant one, Ann. of Math. (2) 72 (1960), 20–104. MR 141119, DOI 10.2307/1970147
J. F. Adams, A finiteness theorem in homological algebra, Proc. Cambridge Philos. Soc. 57 (1961), 31–36. MR 122852, DOI 10.1017/s0305004100034824

Stable homotopy theory

A. Borel and J.-P. Serre, Groupes de Lie et puissances réduites de Steenrod, Amer. J. Math. 75 (1953), 409–448 (French). MR 58213, DOI 10.2307/2372495

Invariant de Hopf et operations cohomologiques secondaires

Samuel Eilenberg, Homological dimension and syzygies, Ann. of Math. (2) 64 (1956), 328–336. MR 82489, DOI 10.2307/1969977
Hillel H. Gershenson, Relationships between the Adams spectral sequence and Toda’s calculations of the stable homotopy groups of spheres, Math. Z. 81 (1963), 223–259. MR 151976, DOI 10.1007/BF01111545
Arunas Liulevicius, The factorization of cyclic reduced powers by secondary cohomology operations, Mem. Amer. Math. Soc. 42 (1962), 112. MR 182001

Homotopy of Thom spectra

John Milnor, The Steenrod algebra and its dual, Ann. of Math. (2) 67 (1958), 150–171. MR 99653, DOI 10.2307/1969932
John W. Milnor and John C. Moore, On the structure of Hopf algebras, Ann. of Math. (2) 81 (1965), 211–264. MR 174052, DOI 10.2307/1970615
C. T. C. Wall, Generators and relations for the Steenrod algebra, Ann. of Math. (2) 72 (1960), 429–444. MR 116326, DOI 10.2307/1970225
C. T. C. Wall, Resolutions for extensions of groups, Proc. Cambridge Philos. Soc. 57 (1961), 251–255. MR 178046, DOI 10.1017/s0305004100035155