Note on cohomology ring of certain spaces
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References
- 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
- W. D. Barcus and M. G. Barratt, On the homotopy classification of the extensions of a fixed map, Trans. Amer. Math. Soc. 88 (1958), 57–74. MR 97060, DOI 10.1090/S0002-9947-1958-0097060-7
- M. G. Barratt and P. J. Hilton, On join operations in homotopy groups, Proc. London Math. Soc. (3) 3 (1953), 430–445. MR 60232, DOI 10.1112/plms/s3-3.1.430
- A. L. Blakers and W. S. Massey, The homotopy groups of a triad. III, Ann. of Math. (2) 58 (1953), 409–417. MR 58971, DOI 10.2307/1969744
- I. M. James, Note on cup-products, Proc. Amer. Math. Soc. 8 (1957), 374–383. MR 91467, DOI 10.1090/S0002-9939-1957-0091467-4 A. L. Liulevicius, The factorization of cyclic reduced powers by secondary cohomology operations, Theses, The University of Chicago, 1960.
- John C. Moore, Some applications of homology theory to homotopy problems, Ann. of Math. (2) 58 (1953), 325–350. MR 59549, DOI 10.2307/1969791
- Minoru Nakaoka and Hirosi Toda, On Jacobi identity for Whitehead products, J. Inst. Polytech. Osaka City Univ. Ser. A 5 (1954), 1–13. MR 65926
- Jean-Pierre Serre, Groupes d’homotopie et classes de groupes abéliens, Ann. of Math. (2) 58 (1953), 258–294 (French). MR 59548, DOI 10.2307/1969789
- Nobuo Shimada, Triviality of the mod$p$ Hopf invariants, Proc. Japan Acad. 36 (1960), 68–69. MR 112141
- N. E. Steenrod, Cohomology invariants of mappings, Ann. of Math. (2) 50 (1949), 954–988. MR 31231, DOI 10.2307/1969589
- Hirosi Toda, On the double suspension $E^2$, J. Inst. Polytech. Osaka City Univ. Ser. A 7 (1956), 103–145. MR 92968
- Hirosi Toda, $p$-primary components of homotopy groups. I. Exact sequences in Steenrod algebra, Mem. Coll. Sci. Univ. Kyoto Ser. A. Math. 31 (1958), 129–142. MR 105682, DOI 10.1215/kjm/1250776909
- Hirosi Toda, $p$-primary components of homotopy groups. IV. Compositions and toric constructions, Mem. Coll. Sci. Univ. Kyoto Ser. A. Math. 32 (1959), 297–332. MR 111041, DOI 10.1215/kjm/1250776579 —, Composition methods in homotopy groups of spheres, Annals of Math. Studies 49, Princeton (to appear).
- George W. Whitehead, A generalization of the Hopf invariant, Ann. of Math. (2) 51 (1950), 192–237. MR 41435, DOI 10.2307/1969506
Additional Information
- © Copyright 1963 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 14 (1963), 89-95
- MSC: Primary 55.30
- DOI: https://doi.org/10.1090/S0002-9939-1963-0150763-5
- MathSciNet review: 0150763