Quantitative Helly-type problems

Abstract Quantitative versions of Helly's and Steinitz' theorems were first introduced by Bárány, Katchalski and Pach in 1982, and have grown into a well-studied field within discrete and convex geometry in the last decade. This note is an invitation to the field in the form of an incomplete collection of open problems.

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Publication Details

Journal
Analysis Mathematica
Published
2025-11-06
DOI
https://doi.org/10.1007/s10476-025-00127-z
Primary Topic
Nonlinear Partial Differential Equations
Type
article
Field-Weighted Citation Impact
0.00

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article

Quantitative Helly-type problems

Márton Naszódi
Analysis Mathematica
Nonlinear Partial Differential Equations
article

Quantitative Helly-type problems

Márton Naszódi
article en

Abstract

Abstract Quantitative versions of Helly's and Steinitz' theorems were first introduced by Bárány, Katchalski and Pach in 1982, and have grown into a well-studied field within discrete and convex geometry in the last decade. This note is an invitation to the field in the form of an incomplete collection of open problems.

Analysis MathematicaVol. 51(4)
Eötvös Loránd University (HU), HUN-REN Alfréd Rényi Institute of Mathematics (HU)
Eötvös Loránd Tudományegyetem
Openalex Percentile: Top 54%
Nonlinear Partial Differential Equations
DOIOpen Access PDFOpenAlex
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