Continuous quantitative Helly-type results
Metric Geometry
2021-03-03 v4 Functional Analysis
Abstract
Brazitikos' results on quantititative 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 technique by a stronger recent result due to Friedland and Youssef. This, together with an appropriate selection in the accuracy of the approximation, allow us to obtain Helly-type versions which are sensitive to the number of convex sets involved.
Cite
@article{arxiv.2006.09472,
title = {Continuous quantitative Helly-type results},
author = {Tomás Fernandez Vidal and Daniel Galicer and Mariano Merzbacher},
journal= {arXiv preprint arXiv:2006.09472},
year = {2021}
}
Comments
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