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Continuous functions of several variable

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References

  1. W. Browder, On torsion in H-spaces, Ann. of Math. (2), 74 (1961), 24–51.

    Article  MathSciNet  MATH  Google Scholar 

  2. B. Eckmann, Raume mit Mittelbildungen, Comment. Math. Helv. 28 (1954), 329–40.

    Article  MathSciNet  MATH  Google Scholar 

  3. B. Eckmann, T. Ganea and P.J. Hilton, Generalized means, Studies in Math. Analysis and Related Topics, Stanford Univ. Press (1962).

    Google Scholar 

  4. F.A. Gadzhiev, The Kolmogorov-Slupecki theorem for a three-dimensional sphere, Uspekhi Mat. Nauk SSSR, 39 (1984), 51–4; English trans. in Russian Math. Surveys 39 (1984), 57–61.

    MathSciNet  MATH  Google Scholar 

  5. F.A. Gadzhiev, On functions of four variables on the three-dimensional sphere that are not representable in the form of a composition of functions of fewer variables, Dokladi Akad. Nauk SSSR, 289 (1986), 785–7; English trans. in Soviet Math. Dokladi 34 (1987), 150–3.

    MathSciNet  Google Scholar 

  6. P.J. Hilton, A certain triple Whitehead product, Proc. Cambridge Philos. Soc. 50 (1954), 189–97.

    Article  MathSciNet  MATH  Google Scholar 

  7. K. Iriye, On the James number of cyclic maps of spheres, Japan J. Math. 10 (1984), 1–8.

    MathSciNet  MATH  Google Scholar 

  8. I.M. James, Commutative products on spheres, Proc. Cambridge Philos. Soc. 53 (1957), 63–8.

    Article  MathSciNet  MATH  Google Scholar 

  9. I.M. James, Symmetric functions of several variables whose range and domain is a sphere, Bol. Soc. Mat. Mexicana 1 (1956), 85–8.

    MathSciNet  MATH  Google Scholar 

  10. I.M. James, E. Thomas, H. Toda and G.W. Whitehead, On the symmetric square of a sphere, J. Math. Mech. 12 (1963), 771–776.

    MathSciNet  MATH  Google Scholar 

  11. A.N. Kolmogorov, On the representation of continuous functions of many variables by superposition of continuous functions of one variable and addition, Dokladi Akad. Nauk SSSR, 114 (1957), 953–6; English trans. in Amer. Math. Soc. Trans. (2) 28 (1963), 55–9.

    MathSciNet  MATH  Google Scholar 

  12. P.S. Landweber, On symmetric maps between spheres and equivariant K-theory, Topology 9 (1970), 55–61.

    Article  MathSciNet  MATH  Google Scholar 

  13. A.A. Mal'tsev, A topological version of Slupecki's theorem for certain compact sets, Dokladi Akad. Nauk, SSSR, 188 (1969), 33–6; English trans. in Soviet Math. Dokladi 9 (1969), 1071–4.

    MATH  Google Scholar 

  14. G.J. Porter, Homotopical nilpotence of S3, Proc. Amer. Math. Soc. 15 (1964), 681–2.

    MathSciNet  MATH  Google Scholar 

  15. J. Ucci, On symmetric maps of spheres, Inventiones Math. 5 (1968), 8–18.

    Article  MathSciNet  MATH  Google Scholar 

  16. J. Ucci, On the symmetric cube of a sphere, Trans. Amer. Math. Soc. 151 (1970), 527–49.

    Article  MathSciNet  MATH  Google Scholar 

  17. J. Ucci, On cyclic and iterated cyclic products of spheres, Osaka J. Math. 8 (1971), 393–404.

    MathSciNet  MATH  Google Scholar 

  18. G.W. Whitehead, On mappings into group-like spaces, Comment. Math. Helv. 28 (1954), 320–8.

    Article  MathSciNet  Google Scholar 

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Mamoru Mimura

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© 1990 Springer-Verlag Berlin Heidelberg

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James, I.M. (1990). Continuous functions of several variable. In: Mimura, M. (eds) Homotopy Theory and Related Topics. Lecture Notes in Mathematics, vol 1418. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083691

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  • DOI: https://doi.org/10.1007/BFb0083691

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-52246-1

  • Online ISBN: 978-3-540-46938-4

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