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.

引用

页码：2181 / 2193

页数：13

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