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

**[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)**

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DOI:
https://doi.org/10.1090/S0002-9939-1955-0073978-9

Article copyright:
© Copyright 1955
American Mathematical Society