This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
W. Browder, On torsion in H-spaces, Ann. of Math. (2), 74 (1961), 24–51.
B. Eckmann, Raume mit Mittelbildungen, Comment. Math. Helv. 28 (1954), 329–40.
B. Eckmann, T. Ganea and P.J. Hilton, Generalized means, Studies in Math. Analysis and Related Topics, Stanford Univ. Press (1962).
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.
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.
P.J. Hilton, A certain triple Whitehead product, Proc. Cambridge Philos. Soc. 50 (1954), 189–97.
K. Iriye, On the James number of cyclic maps of spheres, Japan J. Math. 10 (1984), 1–8.
I.M. James, Commutative products on spheres, Proc. Cambridge Philos. Soc. 53 (1957), 63–8.
I.M. James, Symmetric functions of several variables whose range and domain is a sphere, Bol. Soc. Mat. Mexicana 1 (1956), 85–8.
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.
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.
P.S. Landweber, On symmetric maps between spheres and equivariant K-theory, Topology 9 (1970), 55–61.
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.
G.J. Porter, Homotopical nilpotence of S3, Proc. Amer. Math. Soc. 15 (1964), 681–2.
J. Ucci, On symmetric maps of spheres, Inventiones Math. 5 (1968), 8–18.
J. Ucci, On the symmetric cube of a sphere, Trans. Amer. Math. Soc. 151 (1970), 527–49.
J. Ucci, On cyclic and iterated cyclic products of spheres, Osaka J. Math. 8 (1971), 393–404.
G.W. Whitehead, On mappings into group-like spaces, Comment. Math. Helv. 28 (1954), 320–8.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1990 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
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
Download citation
DOI: https://doi.org/10.1007/BFb0083691
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-52246-1
Online ISBN: 978-3-540-46938-4
eBook Packages: Springer Book Archive