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Nontriviality of the stable homotopy element \(\gamma_1\). (English) Zbl 0287.55014


MSC:

55Q10 Stable homotopy groups
55N20 Generalized (extraordinary) homology and cohomology theories in algebraic topology
55S25 \(K\)-theory operations and generalized cohomology operations in algebraic topology
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[2] Adams, J. F., Stable homotopy and generalized homology, (Lecture Notes (1971), Univ. of Chicago) · Zbl 0309.55016
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[10] Toda, H., An important relation in homotopy groups of spheres, Proc. Japan. Acad., 43, 839-842 (1967) · Zbl 0169.25603
[11] Toda, H., On spectra realizing exterior parts of the Steenrod algebra, Topology, 10, 53-65 (1971) · Zbl 0223.55029
[12] Toda, H., Algebra of stable homotopy of \(Z_p\)-spaces and applications, Kyoto J. Math., 11, 197-251 (1971) · Zbl 0228.55015
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[14] Zahler, R., The Adams - Novikov spectral sequence for the spheres, Ann. Math., 96, 480-504 (1972) · Zbl 0244.55021
[15] R. Zahler, Detecting stable homotopy with secondary cobordism operations I, Quart. J. Math., to appear.; R. Zahler, Detecting stable homotopy with secondary cobordism operations I, Quart. J. Math., to appear. · Zbl 0286.55013
[16] Zahler, R., Existence of the stable homotopy family {°\(_t\)}, Bull. Am. Math. Soc., 79, 787-789 (1973) · Zbl 0273.55017
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