Geodesic
Equivalent Formulations of the Borsuk-Ulam Theorem
Canadian journal of mathematics, Tome 18 (1966) no. 1, pp. 492-502

Voir la notice de l'article provenant de la source Cambridge University Press

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). 
Bacon, Philip. Equivalent Formulations of the Borsuk-Ulam Theorem. Canadian journal of mathematics, Tome 18 (1966) no. 1, pp. 492-502. doi: 10.4153/CJM-1966-049-9
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