论文信息 - Borsuk's theorem through complementary pivoting

Borsuk's theorem through complementary pivoting

In this short note a simple and constructive proof is given for Borsuk's theorem on antipodal points. This is done through a special application of the complementary pivoting algorithm.

Imre Bárány

[1] Imre Bárány,et al. A Short Proof of Kneser's Conjecture , 1978, J. Comb. Theory, Ser. A.

[2] M. Todd. The Computation of Fixed Points and Applications , 1976 .

[3] Karol Borsuk. Drei Sätze über die n-dimensionale euklidische Sphäre , 1933 .

[4] László Lovász,et al. Kneser's Conjecture, Chromatic Number, and Homotopy , 1978, J. Comb. Theory A.