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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A generalization of the Borsuk and Borsuk-Ulam theorems


Author: Walter T. Kyner
Journal: Proc. Amer. Math. Soc. 7 (1956), 1117-1119
MSC: Primary 46.1X
MathSciNet review: 0082063
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References [Enhancements On Off] (What's this?)

  • [1] Alexandroff-Hopf, Topologie, Berlin, 1935.
  • [2] M. A. Krasnosel′skiĭ, On the theory of completely continuous vector fields, Ukrain. Mat. Žurnal 3 (1951), 174–183 (Russian). MR 0055677 (14,1109e)
  • [3] Jean Leray and Jules Schauder, Topologie et équations fonctionnelles, Ann. Sci. École Norm. Sup. (3) 51 (1934), 45–78 (French). MR 1509338
  • [4] E. Rothe, Zur Theorie der topologischen Ordnung und der Vektorfelder in Banachschen Räuman, Compositio Math. vol. 5 (1937) pp. 177-197.
  • [5] Erich Rothe, The theory of topological order in some linear topological spaces, Iowa State Coll. J. Sci. 13 (1939), 373–390. MR 0000651 (1,108b)

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1956-0082063-2
PII: S 0002-9939(1956)0082063-2
Article copyright: © Copyright 1956 American Mathematical Society