References
Adams, J. F.: Vector fields on spheres. Ann. of Math.75, 603–632 (1962).
Atiyah, M. F., andF. Hirzebruch: Vector bundles and homogeneous spaces. Proc. of Symposia on Pure Mathematics 3, Differential Geometry. Amer. Math. Soc. 7–38 (1961).
——: Analytic cycles on complex manifolds. Topology1, 25–45 (1962).
James, I. M.: Commutative products on spheres. Proc. Camb. Phil. Soc.53, 63–68 (1957).
—: Symmetric functions of several variables whose range and domain is a sphere. Bol. Soc. Mat. Mexicana1, 85–88 (1956).
—,Emery Thomas, H. Toda, andG. W. Whitehead: On the symmetric square of a sphere. J. Math. and Mech.12, 771–776 (1963).
Liao, S. D.: On the topology of cyclic products of spheres. Trans. Amer. Math. Soc.77, 520–551 (1954).
Nakaoka, M.: Cohomology modp of symmetric products of spheres II. J. Inst. Polytech., Osaka City Univ.10, 67–89 (1956).
Thomas, E.: A spectral sequence forK-theory, Appendix toR. Bott's Lectures onK-theory, Harvard University.
Toda, H.: Order of the identity class of a suspension space. Ann. of Math.78, 300–325 (1963).
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Ucci, J.J. On symmetric maps of spheres. Invent Math 5, 8–18 (1968). https://doi.org/10.1007/BF01404535
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DOI: https://doi.org/10.1007/BF01404535