Abstract
Karol Borsuk’s paper “Three theorems on the n-dimensional euclidean sphere” from 1933 is famous because it contained an important result (conjectured by Stanislaw Ulam) that is now known as the Borsuk-Ulam theorem:
Every continuous map f: Sd → ℝd maps two antipodal points of the sphere Sd to the same point in ℝd.
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References
K. Borsuk: Drei Sästze über die n-dimensionale euklidische Sphäsre, Funda-menta Math. 20 (1933), 177–190.
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Aigner, M., Ziegler, G.M. (2004). Borsuk’s conjecture. In: Proofs from THE BOOK. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-05412-3_15
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