Article
Borsuk Number for Planar Convex Bodies
Author/s | Cañete Martín, Antonio Jesús
![]() ![]() ![]() ![]() ![]() ![]() ![]() Schnell, Uwe |
Department | Universidad de Sevilla. Departamento de Matemática Aplicada I |
Publication Date | 2019-12-14 |
Deposit Date | 2024-01-25 |
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Abstract | By using some simple tools from graph theory, we obtain a characterization of the compact sets in Rn with Borsuk number equal to two. This result allows to give some examples of planar (convex) compact sets with Borsuk ... By using some simple tools from graph theory, we obtain a characterization of the compact sets in Rn with Borsuk number equal to two. This result allows to give some examples of planar (convex) compact sets with Borsuk number equal to three. Moreover, we also prove that the unique centrally symmetric planar convex compact sets with Borsuk number equal to three are the Euclidean balls. |
Funding agencies | Ministerio de Ciencia, Innovación y Universidades (MICINN). España |
Project ID. | MTM2017-84851-C2-1
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Citation | Cañete Martín, A.J. y Schnell, U. (2019). Borsuk Number for Planar Convex Bodies. Results in Mathematics, 75 (14). https://doi.org/10.1007/s00025-019-1135-3. |
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