Real-valued mappings of spheres
Author:
E. E. Floyd
Journal:
Proc. Amer. Math. Soc. 6 (1955), 957-959
MSC:
Primary 56.0X
DOI:
https://doi.org/10.1090/S0002-9939-1955-0073978-9
MathSciNet review:
0073978
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References | Similar Articles | Additional Information
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- [2] R. D. Johnson, Continuous real-valued functions on spheres, Master's thesis, University of Virginia.
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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)
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1955-0073978-9
Article copyright:
© Copyright 1955
American Mathematical Society