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On the Dimensions of Counterexamples to Borsuk's Conjecture On Spheres of Small Radii
- Authors: Ivanov LL1
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Affiliations:
- Peoples Friendship University of Russia
- Issue: No 2 (2011)
- Pages: 51-58
- Section: Articles
- URL: https://journals.rudn.ru/miph/article/view/8738
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Abstract
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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About the authors
L 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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