Equivalent Formulations of the Borsuk-Ulam Theorem
- 1 January 1966
- journal article
- Published by Canadian Mathematical Society in Canadian Journal of Mathematics
- Vol. 18, 492-502
- https://doi.org/10.4153/cjm-1966-049-9
Abstract
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).Keywords
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