| Autor: |
Vidal, Tomás Fernandez, Galicer, Daniel, Merzbacher, Mariano |
| Předmět: |
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| Zdroj: |
Proceedings of the American Mathematical Society; May2022, Vol. 150 Issue 5, p2181-2193, 13p |
| Abstrakt: |
Brazitikos' results on quantitative Helly-type theorems (for the volume and for the diameter) rely on the work of Srivastava on sparsification of John's decompositions. We change this tool by a stronger recent result due to Friedland and Youssef which, together with an appropriate selection in the accuracy of the approximation, allows us to obtain Helly-type versions which are sensitive to the number of convex sets involved. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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