A. Polyanskii

activity

20232026

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math.CO2025

New Helly-type results for discrete boxes: Quantitative colorful and $(p, q)$ -variants

Rahul Gangopadhyay, Alexander Polyanskii, Wei Rao

In 2008, Halman showed that for any finite set $P \subset R^{d}$ and any finite family $B$ of axis-parallel boxes in $R^{d}$ , if the intersection of $P$ and a…

math.CO2025

No-dimensional Tverberg-type problems

Alexander Polyanskii

Recently, Adiprasito et al. have initiated the study of the so-called no-dimensional Tverberg problem. This problem can be informally stated as follows: Given $n \geq k$ , partition…

New Helly-type results for discrete boxes: Quantitative colorful and (p,q)-variants

No-dimensional Tverberg-type problems

New Helly-type results for discrete boxes: Quantitative colorful and $(p, q)$ -variants