A ug 2 02 0 CONTINUOUS QUANTITATIVE HELLY-TYPE RESULTS

TOMÁS FERNANDEZ VIDAL,DANIEL GALICER,MARIANO MERZBACHER

semanticscholar（2020）

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摘要

Brazitikos’ results on quantititative Helly-type theorems (for the volume and for the diameter) rely on the work of Srivastava on approximate John’s decompositions with few vectors. We change this technique by a stronger recent result due to Friedland and Youssef that allow us to obtain Helly-type versions which are sensitive to the number of convex sets involved.

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