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Equivalent Formulations of the Borsuk-Ulam Theorem

Published online by Cambridge University Press:  20 November 2018

Philip Bacon
Philip Bacon*
Affiliation:
University of Florida
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Let R° denote a space consisting of just one point and for each positive integer n let Rn denote euclidean n-space. For each non-negative integer n let Sn denote the n-sphere

In 1933 K. Borsuk published proofs of the following two theorems (2, p. 178).

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 18 , 1966 , pp. 492 - 502
Copyright
Copyright © Canadian Mathematical Society 1966

References

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