On the Dimensions of Counterexamples to Borsuk's Conjecture On Spheres of Small Radii

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In this article there are constructions of counterexamples to the Borsuk's conjecture defined, which are sets laying on spheres of small radii. This work shows how the dimension of a counterexample depends on the radius of the covering sphere.

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L Ivanov

Peoples Friendship University of Russia

Email: l.ivanov@mail.ru
Кафедра нелинейного анализа и оптимизации; Российский университет дружбы народов; Peoples Friendship University of Russia

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