CONTINUOUS QUANTITATIVE HELLY-TYPE RESULTS

被引：1
|
作者：
Fernandez Vidal, Tomas [1 ]
Galicer, Daniel [1 ]
Merzbacher, Mariano [1 ]
机构：
[1] Univ Buenos Aires, Dept Matemat, IMAS, Fac Cs Exactas & Nat,CONICET, Pab 1, RA-1428 Buenos Aires, DF, Argentina
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2022年 / 150卷 / 05期
关键词：
Helly-type results; convex bodies; approximate John's decomposition; THEOREM;
D O I：
10.1090/proc/15844
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
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页码：2181 / 2193
页数：13
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