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Cohomology algebras with two generators. (English) Zbl 0482.55017


MSC:

55S05 Primary cohomology operations in algebraic topology
55S10 Steenrod algebra
55T15 Adams spectral sequences
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References:

[1] Adams, J.F.: On the non-existence of elements of Hopf invariant one. Ann. of Math72, 20-104 (1960) · Zbl 0096.17404 · doi:10.2307/1970147
[2] Bousfield A.K., Kan, D.M.: Homotopy limits, completions and localisations. Lecture Notes in Mathematics304, Berlin-Heidelberg-New York: Springer 1972 · Zbl 0259.55004
[3] Cooke, G.E.: Constructing spaces with interesting ? p -cohomology via ?-actions on loop spaces. Amer. J. Math.101, 515-542 (1979) · Zbl 0414.55003 · doi:10.2307/2373796
[4] Fiedorowicz, Z., Priddy, S.: Homology of classical groups over finite fields and their associated infinite loop spaces. Lecture Notes in Mathematics674, Berlin-Heidelberg-New York: Springer 1978 · Zbl 0403.55010
[5] Goncalves, D.C.: Mod 2 homotopy associativeH-spaces. In: Geometric Applications of Homotopy Theory I. Proceedings (Evanston 1977), pp. 198-216. Lecture Notes in Mathematics657. Berlin-Heidelberg-New York: Springer 1978
[6] Hubbuck, J.R.: Two lemmas on primary cohomology operations. Math. Proc. Cambridge Philos. Soc.68, 631-636 (1970) · Zbl 0213.24701 · doi:10.1017/S0305004100076611
[7] Hubbuck, J.R.: Generalized cohomology operations andH-spaces of low rank. Trans. Amer. Math. Soc.141, 335-360 (1969) · Zbl 0181.51301
[8] Liulevicius, A.: The factorization of cyclic reduced powers by secondary cohomology operations. Mem. Amer. Math. Soc.42 (1962) · Zbl 0131.38101
[9] Ravenel, D.C.: The non-existence of odd primary Arf invariant, elements in stable homotopy. Math. Proc. Cambridge Philos. Soc.83, 429-443 (1978) · Zbl 0374.55023 · doi:10.1017/S0305004100054712
[10] Sullivan, D.: Genetics of homotopy theory and the Adams conjecture. Ann of Math.100, 1-79 (1974) · Zbl 0355.57007 · doi:10.2307/1970841
[11] Toda, H.: An important relation in homotopy groups of spheres. Proc. Japan Acad.43, 839-842 (1967) · Zbl 0169.25603 · doi:10.3792/pja/1195521423
[12] Yamamoto, N.: Algebra of stable homotopy of Moore space. Osaka J. Math.14, 45-67 (1963) · Zbl 0195.53001
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