English

Helly-type problems from a topological perspective

Computational Geometry 2026-02-10 v1 Discrete Mathematics Algebraic Topology Combinatorics

Abstract

We discuss recent progress on topological Helly-type theorems and their variants. We provide an overview of two different proof techniques, one based on the nerve lemma, while the other on non-embeddability.

Cite

@article{arxiv.2602.07552,
  title  = {Helly-type problems from a topological perspective},
  author = {Pavel Paták and Zuzana Patáková},
  journal= {arXiv preprint arXiv:2602.07552},
  year   = {2026}
}