• [1] F. J. Dyson, Continuous functions defined on spheres, Ann. of Math. (2) 54 (1951), 534–536. MR 0044620 (13,450f)
• [2] R. D. Johnson, Continuous real-valued functions on spheres, Master's thesis, University of Virginia.
• [3] Shizuo Kakutani, A proof that there exists a circumscribing cube around any bounded closed convex set in 𝑅³, Ann. of Math. (2) 43 (1942), 739–741. MR 0007267 (4,111i)
• [4] George R. Livesay, On a theorem of F. J. Dyson, Ann. of Math. (2) 59 (1954), 227–229. MR 0059546 (15,548a)
• [5] Aureliano de Mira Fernandes, Funzioni continue sopra una superficie sferica, Portugaliae Math. 5 (1946), 132–134 (Italian). MR 0017516 (8,164f)
• [6] Norman Steenrod, The Topology of Fibre Bundles, Princeton Mathematical Series, vol. 14, Princeton University Press, Princeton, N. J., 1951. MR 0039258 (12,522b)
• [7] Gordon Thomas Whyburn, Analytic Topology, American Mathematical Society Colloquium Publications, v. 28, American Mathematical Society, New York, 1942. MR 0007095 (4,86b)
• [8] Hidehiko Yamabe and Zuiman Yujobô, On the continuous function defined on a sphere, Osaka Math. J. 2 (1950), 19–22. MR 0037006 (12,198c)

Bibliography

[1]

F. J. Dyson, Continuous functions defined on spheres, Ann. of Math. vol. 54 (1951) pp. 534-536. MR 0044620 (13:450f)

[2]

R. D. Johnson, Continuous real-valued functions on spheres, Master's thesis, University of Virginia.

[3]

S. Kakutani, A proof that there exists a circumscribing cube around any bounded closed convex set in , Ann. of Math. vol. 43 (1942) pp. 739-741. MR 0007267 (4:111i)

[4]

G. R. Livesay, On a theorem of F. J. Dyson, Ann. of Math. vol. 59 (1954) pp. 227-229. MR 0059546 (15:548a)

[5]

A. de Mira Fernandes, Funzioni continue sopra una superficie sferica, Portugaliae Mathematica vol. 5 (1946) pp. 132-134. MR 0017516 (8:164f)

[6]

N. Steenrod, The topology of fibre bundles, Princeton, 1951. MR 0039258 (12:522b)

[7]

G. T. Whyburn, Analytic topology, New York, 1941. MR 0007095 (4:86b)

[8]

H. Yamabe and Z. Yujobo, On the continuous function defined on a sphere, Osaka Math. J. vol. 2 (1950) pp. 19-22. MR 0037006 (12:198c)